Podcast
Questions and Answers
What is the unit of work?
What is the unit of work?
- Watt
- Joule (correct)
- Pascal
- Newton
What is the value of work when the angle between force and displacement direction is 90 degrees?
What is the value of work when the angle between force and displacement direction is 90 degrees?
- Maximum
- Minimum
- Negative
- Zero (correct)
What formula defines momentum?
What formula defines momentum?
- Momentum = Mass x Velocity (correct)
- Momentum = Force / Area
- Momentum = Acceleration / Time
- Momentum = Energy + Time
What is energy?
What is energy?
What is the formula for work done when a force is applied over a distance at an angle of 0 degrees?
What is the formula for work done when a force is applied over a distance at an angle of 0 degrees?
What is the momentum of a stationary object?
What is the momentum of a stationary object?
Impulse is equal to the change in which quantity?
Impulse is equal to the change in which quantity?
Mechanical energy is the sum of what two types of energy?
Mechanical energy is the sum of what two types of energy?
What is the standard unit for momentum?
What is the standard unit for momentum?
What happens to the value of work when the angle is between 90-180?
What happens to the value of work when the angle is between 90-180?
Is energy a scalar or a vector quantity?
Is energy a scalar or a vector quantity?
If a ball bounces off a wall, and assuming that the system consists of both the ball and the wall, what happens to the total momemtum of the system?
If a ball bounces off a wall, and assuming that the system consists of both the ball and the wall, what happens to the total momemtum of the system?
Which of the following is the formula for calculating potential energy?
Which of the following is the formula for calculating potential energy?
What is the formula for potential energy?
What is the formula for potential energy?
What does 'k' represent in the spring force equation $F = kx$?
What does 'k' represent in the spring force equation $F = kx$?
What is the Work-Energy Theorem?
What is the Work-Energy Theorem?
What is the formula for kinetic energy?
What is the formula for kinetic energy?
What principle states that energy cannot be created or destroyed?
What principle states that energy cannot be created or destroyed?
What is power defined as?
What is power defined as?
What unit is power typically measured in?
What unit is power typically measured in?
If a spring with a spring constant of $k = 100 N/m$ is compressed by $0.1 m$, what is the potential energy stored in the spring?
If a spring with a spring constant of $k = 100 N/m$ is compressed by $0.1 m$, what is the potential energy stored in the spring?
What is required to calculate the work done on an object?
What is required to calculate the work done on an object?
Which variable is needed to calculate Kinetic Energy?
Which variable is needed to calculate Kinetic Energy?
What is the unit of power, expressed in watts, given a force of 165N and a velocity of 10m/s?
What is the unit of power, expressed in watts, given a force of 165N and a velocity of 10m/s?
A girl jumps from a stationary raft. What is conserved in this scenario?
A girl jumps from a stationary raft. What is conserved in this scenario?
What is linear momentum defined as?
What is linear momentum defined as?
What is the formula for calculating impulse?
What is the formula for calculating impulse?
What is the SI unit for linear momentum?
What is the SI unit for linear momentum?
A school bus with 50 students has a total mass of 7500kg and moves at 10m/s. What is the momentum of the bus and its passengers?
A school bus with 50 students has a total mass of 7500kg and moves at 10m/s. What is the momentum of the bus and its passengers?
In an inelastic collision, such as carts sticking together, what is true of the kinetic energy?
In an inelastic collision, such as carts sticking together, what is true of the kinetic energy?
What happens to the momentum of a bus when 10 students get off, assuming the bus maintains the same speed?
What happens to the momentum of a bus when 10 students get off, assuming the bus maintains the same speed?
What is the SI unit for impulse?
What is the SI unit for impulse?
In a system of multiple bodies, how is the total momentum of the system determined?
In a system of multiple bodies, how is the total momentum of the system determined?
What is the value of the raft's initial velocity?
What is the value of the raft's initial velocity?
A 0.15 kg hockey puck moving at 5 m/s collides with an identical stationary puck. What quantity is the same for both?
A 0.15 kg hockey puck moving at 5 m/s collides with an identical stationary puck. What quantity is the same for both?
In which type of collision is kinetic energy conserved?
In which type of collision is kinetic energy conserved?
What is the direction of the second cart's velocity?
What is the direction of the second cart's velocity?
In what type of collision do objects stick together after impact?
In what type of collision do objects stick together after impact?
What is conserved in all types of collisions, assuming no external forces?
What is conserved in all types of collisions, assuming no external forces?
What is the mass of the cart that experiences the 50 N force?
What is the mass of the cart that experiences the 50 N force?
If a girl jumps into a raft that is initially at rest, what happens to the total momentum of the system (girl + raft)?
If a girl jumps into a raft that is initially at rest, what happens to the total momentum of the system (girl + raft)?
What is the final velocity of the girl and the raft?
What is the final velocity of the girl and the raft?
What is the final speed of the two carts?
What is the final speed of the two carts?
What does work measure?
What does work measure?
What type of quantity is work?
What type of quantity is work?
What condition results in maximum work done?
What condition results in maximum work done?
What happens when work is between 90-180 degrees?
What happens when work is between 90-180 degrees?
What is energy best described as?
What is energy best described as?
In what units is energy expressed?
In what units is energy expressed?
What two types of energy sum up mechanical energy?
What two types of energy sum up mechanical energy?
Which of the following correctly describes energy?
Which of the following correctly describes energy?
What two variables are needed to calculate linear momentum?
What two variables are needed to calculate linear momentum?
What type of quantity is momentum?
What type of quantity is momentum?
In an elastic collision, what happens to the objects involved?
In an elastic collision, what happens to the objects involved?
In a perfectly inelastic collision, what happens to the objects?
In a perfectly inelastic collision, what happens to the objects?
What is the formula for calculating the change in momentum?
What is the formula for calculating the change in momentum?
What is the momentum of an object dependent on?
What is the momentum of an object dependent on?
What is conserved in all collisions, assuming no external forces?
What is conserved in all collisions, assuming no external forces?
If the net work done on an object is zero, what can be said about its kinetic energy?
If the net work done on an object is zero, what can be said about its kinetic energy?
What is the correct usage of a Watt?
What is the correct usage of a Watt?
What happens to the total momentum of a system before and after a collision?
What happens to the total momentum of a system before and after a collision?
What property of an object does kinetic energy depend on?
What property of an object does kinetic energy depend on?
If a 50 kg girl jumps into a 100 kg raft that is initially at rest on the water, what is the initial momentum of the raft before the girl jumps in?
If a 50 kg girl jumps into a 100 kg raft that is initially at rest on the water, what is the initial momentum of the raft before the girl jumps in?
Units of measurement for power are typically expressed using what term?
Units of measurement for power are typically expressed using what term?
If a school bus carrying 50 students has a total mass of 7500kg and moves at 10m/s, what is the total momentum of the bus and its passengers?
If a school bus carrying 50 students has a total mass of 7500kg and moves at 10m/s, what is the total momentum of the bus and its passengers?
What is the formula for calculating potential energy?
What is the formula for calculating potential energy?
What is the impulse experienced by the cart?
What is the impulse experienced by the cart?
After the girl jumps, what is the direction of the final velocity of the girl and the raft?
After the girl jumps, what is the direction of the final velocity of the girl and the raft?
What is the initial velocity of second cart?
What is the initial velocity of second cart?
What is the final speed of the two carts after they collide and stick together?
What is the final speed of the two carts after they collide and stick together?
What is the mass of the first hockey puck?
What is the mass of the first hockey puck?
What is the mass of the stationary hockey puck?
What is the mass of the stationary hockey puck?
What is the velocity of the hockey puck moving on the ice?
What is the velocity of the hockey puck moving on the ice?
After the collision, what is the velocity of the first puck?
After the collision, what is the velocity of the first puck?
Under what circumstance is the work done on an object considered negative?
Under what circumstance is the work done on an object considered negative?
If two objects have different masses but the same kinetic energy, which one will have a greater speed?
If two objects have different masses but the same kinetic energy, which one will have a greater speed?
What happens to the potential energy of an object as it is lifted to a greater height?
What happens to the potential energy of an object as it is lifted to a greater height?
A crane lifts two objects of equal mass to different heights. Object A is lifted to 10 meters, and Object B is lifted to 20 meters. Which statement accurately compares the work done by the crane on the two objects?
A crane lifts two objects of equal mass to different heights. Object A is lifted to 10 meters, and Object B is lifted to 20 meters. Which statement accurately compares the work done by the crane on the two objects?
A block slides down a frictionless inclined plane. Which of the following statements is true regarding its mechanical energy?
A block slides down a frictionless inclined plane. Which of the following statements is true regarding its mechanical energy?
An object is dropped from a height $h$ near the surface of the Earth. Assuming air resistance is negligible, which of the following statements accurately describes the energy transformation as the object falls?
An object is dropped from a height $h$ near the surface of the Earth. Assuming air resistance is negligible, which of the following statements accurately describes the energy transformation as the object falls?
Imagine a scenario where a roller coaster car is moving along a track. At which point on the track is the sum of the kinetic energy and potential energy the greatest?
Imagine a scenario where a roller coaster car is moving along a track. At which point on the track is the sum of the kinetic energy and potential energy the greatest?
A complex Rube Goldberg machine is designed such that a ball initially at rest rolls down a ramp, triggering a series of levers, ultimately lifting a small weight. Given frictional forces are present, what can be definitively stated about the final potential energy of the weight compared to the initial potential energy of the ball?
A complex Rube Goldberg machine is designed such that a ball initially at rest rolls down a ramp, triggering a series of levers, ultimately lifting a small weight. Given frictional forces are present, what can be definitively stated about the final potential energy of the weight compared to the initial potential energy of the ball?
A 0.02 kg ball is thrown at a wall with a velocity of 4 m/s to the left. After colliding, it rebounds with a velocity of 2 m/s to the right. What is the magnitude of the impulse experienced by the ball?
A 0.02 kg ball is thrown at a wall with a velocity of 4 m/s to the left. After colliding, it rebounds with a velocity of 2 m/s to the right. What is the magnitude of the impulse experienced by the ball?
A child slides down a 350-meter long water slide inclined at 50 degrees. Assuming no friction, which of the following principles can be directly used to determine the child's speed at the bottom?
A child slides down a 350-meter long water slide inclined at 50 degrees. Assuming no friction, which of the following principles can be directly used to determine the child's speed at the bottom?
A 10,000 kg truck moves at 12 m/s. What speed must a 2000 kg SUV attain to have the same momentum as the truck?
A 10,000 kg truck moves at 12 m/s. What speed must a 2000 kg SUV attain to have the same momentum as the truck?
A 200-Watt light bulb is left on for one hour. How much energy, in Joules, does it consume?
A 200-Watt light bulb is left on for one hour. How much energy, in Joules, does it consume?
A child slides down a 350-meter long water slide inclined at 50 degrees with the horizontal. The coefficient of friction is 0.3. Which of the following equations correctly represents the work done by friction on the child while sliding down the slide, where $m$ is the mass of the child, $g$ is the acceleration due to gravity, and $\theta$ is the angle of inclination?
A child slides down a 350-meter long water slide inclined at 50 degrees with the horizontal. The coefficient of friction is 0.3. Which of the following equations correctly represents the work done by friction on the child while sliding down the slide, where $m$ is the mass of the child, $g$ is the acceleration due to gravity, and $\theta$ is the angle of inclination?
A spring with a force constant of 270 N/m is compressed by 0.50 m. What is the potential energy stored in the spring?
A spring with a force constant of 270 N/m is compressed by 0.50 m. What is the potential energy stored in the spring?
The Work-Energy Theorem states that the work done on an object is equal to:
The Work-Energy Theorem states that the work done on an object is equal to:
A woman pushes a 3kg cart with a 500N force over 7m, starting from rest. What is the final speed of the cart?
A woman pushes a 3kg cart with a 500N force over 7m, starting from rest. What is the final speed of the cart?
A 15.0kg cart moving to the right at 4.0m/s collides with a 6.5kg cart moving to the left at 2.0m/s. If the carts stick together, what is the final speed of the two carts?
A 15.0kg cart moving to the right at 4.0m/s collides with a 6.5kg cart moving to the left at 2.0m/s. If the carts stick together, what is the final speed of the two carts?
A spring with spring constant $k = 850 N/m$ is compressed by $0.4 m$ and used to launch a 500 kg ball. What is the approximate speed of the ball immediately after being launched, assuming ideal conditions and conservation of mechanical energy?
A spring with spring constant $k = 850 N/m$ is compressed by $0.4 m$ and used to launch a 500 kg ball. What is the approximate speed of the ball immediately after being launched, assuming ideal conditions and conservation of mechanical energy?
A girl with a mass of 50.0 kg jumps horizontally from a raft with a mass of 100 kg. If the girl's velocity upon jumping is 4.00 m/s, what is the final velocity of the raft?
A girl with a mass of 50.0 kg jumps horizontally from a raft with a mass of 100 kg. If the girl's velocity upon jumping is 4.00 m/s, what is the final velocity of the raft?
A 0.15 kg hockey puck moving at 5 m/s collides with an identical stationary puck. After the collision, the first puck moves at 2 m/s in the opposite direction. What is the impulse experienced by the first puck during the collision?
A 0.15 kg hockey puck moving at 5 m/s collides with an identical stationary puck. After the collision, the first puck moves at 2 m/s in the opposite direction. What is the impulse experienced by the first puck during the collision?
What quantity is defined as the rate at which work is done?
What quantity is defined as the rate at which work is done?
A girl with a mass of 66 kg runs up 550 steps, each 25 cm high, in 30 seconds. What is the approximate power, in watts, expended by the girl?
A girl with a mass of 66 kg runs up 550 steps, each 25 cm high, in 30 seconds. What is the approximate power, in watts, expended by the girl?
What is the impulse experienced by the second hockey puck during the collision?
What is the impulse experienced by the second hockey puck during the collision?
A force of 50 N is applied to a cart for 5 seconds. What is the impulse experienced by the cart?
A force of 50 N is applied to a cart for 5 seconds. What is the impulse experienced by the cart?
A tandem bicycle team overcomes a force of 165 N to maintain a speed of 10 m/s. Assuming each rider contributes equally, what is the power required per rider?
A tandem bicycle team overcomes a force of 165 N to maintain a speed of 10 m/s. Assuming each rider contributes equally, what is the power required per rider?
Given the formula $W = Fd \cos(\theta)$, under what condition is the work done by a force at its maximum?
Given the formula $W = Fd \cos(\theta)$, under what condition is the work done by a force at its maximum?
A 50 N force is applied to a 10 kg cart for 5 seconds. Assuming the cart starts from rest, what is its final velocity?
A 50 N force is applied to a 10 kg cart for 5 seconds. Assuming the cart starts from rest, what is its final velocity?
What is the relationship between the work done on an object and its change in kinetic energy, according to the Work-Energy Theorem?
What is the relationship between the work done on an object and its change in kinetic energy, according to the Work-Energy Theorem?
A system consists of two carts. Cart A has a mass of 5 kg and is moving to the right at 2 m/s. Cart B has a mass of 3 kg and is moving to the left at 1 m/s. What is the total momentum of the system?
A system consists of two carts. Cart A has a mass of 5 kg and is moving to the right at 2 m/s. Cart B has a mass of 3 kg and is moving to the left at 1 m/s. What is the total momentum of the system?
An engineer is designing a spring system for a new transportation device. The success of the design depends on precisely controlling energy transfer and minimizing energy loss. The engineer needs to choose a spring material that maintains a consistent force constant under varied environmental conditions, including temperatures ranging from -20°C to 50°C, while not exceeding a mass of 2kg. Which combination of material properties and design considerations will be most crucial for the engineer to evaluate to meet these stringent spring performance criteria?
An engineer is designing a spring system for a new transportation device. The success of the design depends on precisely controlling energy transfer and minimizing energy loss. The engineer needs to choose a spring material that maintains a consistent force constant under varied environmental conditions, including temperatures ranging from -20°C to 50°C, while not exceeding a mass of 2kg. Which combination of material properties and design considerations will be most crucial for the engineer to evaluate to meet these stringent spring performance criteria?
A rubber ball is dropped onto the floor. Considering the ball and the Earth as a closed system, what happens to the total momentum of the system during the impact?
A rubber ball is dropped onto the floor. Considering the ball and the Earth as a closed system, what happens to the total momentum of the system during the impact?
A car's bumper is designed to increase the impact time during a collision. Why is this beneficial in terms of impulse and force?
A car's bumper is designed to increase the impact time during a collision. Why is this beneficial in terms of impulse and force?
A package of mass m is dropped onto a conveyor belt moving at a constant speed v. Initially, the package slips on the belt, but eventually it comes to rest relative to the belt. What is the magnitude of the impulse exerted by the belt on the package?
A package of mass m is dropped onto a conveyor belt moving at a constant speed v. Initially, the package slips on the belt, but eventually it comes to rest relative to the belt. What is the magnitude of the impulse exerted by the belt on the package?
What is the power, in watts, when a force of 200 N is applied to an object moving at a velocity of 5 m/s?
What is the power, in watts, when a force of 200 N is applied to an object moving at a velocity of 5 m/s?
A 2 kg object is moving with a velocity of 3 m/s east and another 3 kg object is moving with a velocity of 2 m/s west. What is the total momentum of this two-object system?
A 2 kg object is moving with a velocity of 3 m/s east and another 3 kg object is moving with a velocity of 2 m/s west. What is the total momentum of this two-object system?
What is the mass of the school bus?
What is the mass of the school bus?
A 5 kg block is sliding on a frictionless surface with a constant velocity of 2 m/s. What is the magnitude of the net force acting on the block?
A 5 kg block is sliding on a frictionless surface with a constant velocity of 2 m/s. What is the magnitude of the net force acting on the block?
Two cars collide at an intersection. If the collision is perfectly inelastic, what is true about their motion immediately after the collision?
Two cars collide at an intersection. If the collision is perfectly inelastic, what is true about their motion immediately after the collision?
A 2 kg ball is dropped from a height of 5 meters. Assuming no air resistance, what is its momentum just before it hits the ground? (Use $g = 9.8 m/s^2$)
A 2 kg ball is dropped from a height of 5 meters. Assuming no air resistance, what is its momentum just before it hits the ground? (Use $g = 9.8 m/s^2$)
A system consists of two objects. Object A has a mass of 3 kg and moves at a velocity of 4 m/s to the right. Object B has a mass of 5 kg and moves at an unknown velocity. If the system's center of mass is at rest, what is the velocity of Object B?
A system consists of two objects. Object A has a mass of 3 kg and moves at a velocity of 4 m/s to the right. Object B has a mass of 5 kg and moves at an unknown velocity. If the system's center of mass is at rest, what is the velocity of Object B?
Consider two carts on a frictionless track. Cart A has a mass $m$ and moves with velocity $v$ towards a stationary cart B, also of mass $m$. Upon collision, the two carts lock together. What fraction of the initial kinetic energy is lost in the collision?
Consider two carts on a frictionless track. Cart A has a mass $m$ and moves with velocity $v$ towards a stationary cart B, also of mass $m$. Upon collision, the two carts lock together. What fraction of the initial kinetic energy is lost in the collision?
A rocket expels exhaust gases at a rate of 100 kg/s with a velocity of 5000 m/s relative to the rocket. What is the thrust force exerted on the rocket?
A rocket expels exhaust gases at a rate of 100 kg/s with a velocity of 5000 m/s relative to the rocket. What is the thrust force exerted on the rocket?
A completely isolated system consists of two particles with masses $m_1$ and $m_2$ that interact via a conservative central force. At a certain instant, the particles are observed to have velocities $\vec{v_1}$ and $\vec{v_2}$ and are separated by a distance $r$. Which of the following quantities is conserved during the motion?
A completely isolated system consists of two particles with masses $m_1$ and $m_2$ that interact via a conservative central force. At a certain instant, the particles are observed to have velocities $\vec{v_1}$ and $\vec{v_2}$ and are separated by a distance $r$. Which of the following quantities is conserved during the motion?
A 20-gram ball is thrown at a wall with a velocity of 4 m/s to the left. After colliding, it rebounds with a velocity of 2 m/s to the right. What is the change in the ball's momentum?
A 20-gram ball is thrown at a wall with a velocity of 4 m/s to the left. After colliding, it rebounds with a velocity of 2 m/s to the right. What is the change in the ball's momentum?
A child slides down a frictionless water slide that is 350 meters long and inclined at 50 degrees with the horizontal. Which principle can be most directly applied to find the child's speed at the bottom?
A child slides down a frictionless water slide that is 350 meters long and inclined at 50 degrees with the horizontal. Which principle can be most directly applied to find the child's speed at the bottom?
A child slides down a 350-meter long water slide inclined at 50 degrees with the horizontal. The coefficient of friction is 0.3. Which expression correctly represents the work done by friction on the child while sliding down the slide, where $m$ is the mass of the child, $g$ is the acceleration due to gravity, and $\theta$ is the angle of inclination?
A child slides down a 350-meter long water slide inclined at 50 degrees with the horizontal. The coefficient of friction is 0.3. Which expression correctly represents the work done by friction on the child while sliding down the slide, where $m$ is the mass of the child, $g$ is the acceleration due to gravity, and $\theta$ is the angle of inclination?
What is the relationship between energy and work?
What is the relationship between energy and work?
A shopper applies a force of 32 N to a grocery cart, moving it 4.5 meters. How does the angle at which the force is applied affect the amount of work done?
A shopper applies a force of 32 N to a grocery cart, moving it 4.5 meters. How does the angle at which the force is applied affect the amount of work done?
If a boy does 8085 J of work climbing a flight of stairs with a vertical distance of 5.5 m, what is the average force he exerts?
If a boy does 8085 J of work climbing a flight of stairs with a vertical distance of 5.5 m, what is the average force he exerts?
Which has greater potential energy: a 2.0kg mass at the height of 15m or a 10kg mass at 2m in height?
Which has greater potential energy: a 2.0kg mass at the height of 15m or a 10kg mass at 2m in height?
A 100 kg clown slides down a slide that is 13m long and inclined at 50 degrees with the horizontal. Assuming negligible friction, what concept would best directly provide the clown's speed at the bottom?
A 100 kg clown slides down a slide that is 13m long and inclined at 50 degrees with the horizontal. Assuming negligible friction, what concept would best directly provide the clown's speed at the bottom?
A 5 kg cart experiences an impulse of 25 N⋅s. If the cart was initially at rest, what is its final velocity?
A 5 kg cart experiences an impulse of 25 N⋅s. If the cart was initially at rest, what is its final velocity?
An elevator with a mass of 1500 kg moves upward at a constant speed through a vertical distance of 25 m. What is the work done by the tension in the elevator cable?
An elevator with a mass of 1500 kg moves upward at a constant speed through a vertical distance of 25 m. What is the work done by the tension in the elevator cable?
In the scenario where the girl jumps off the raft, what physics principle is primarily used to determine the raft's final velocity?
In the scenario where the girl jumps off the raft, what physics principle is primarily used to determine the raft's final velocity?
Consider a system where a spring-loaded dart gun is used to launch a dart horizontally. The dart hits a block initially at rest on a frictionless surface. Identify the energy transformations in this scenario, assuming that we ignore air resistance.
Consider a system where a spring-loaded dart gun is used to launch a dart horizontally. The dart hits a block initially at rest on a frictionless surface. Identify the energy transformations in this scenario, assuming that we ignore air resistance.
When two carts stick together after a collision, as described in the problem, what type of collision is this?
When two carts stick together after a collision, as described in the problem, what type of collision is this?
Imagine two scenarios: In scenario A, a 2 kg ball is dropped from a height of 10 meters in a vacuum. In scenario B, the same ball is dropped from the same height, but air resistance is present. How would you describe the kinetic energy of the ball just before impact in each scenario?
Imagine two scenarios: In scenario A, a 2 kg ball is dropped from a height of 10 meters in a vacuum. In scenario B, the same ball is dropped from the same height, but air resistance is present. How would you describe the kinetic energy of the ball just before impact in each scenario?
If the impulse on an object is zero, what can be said about the object's momentum?
If the impulse on an object is zero, what can be said about the object's momentum?
What is the impulse experienced by the stationary hockey puck during the collision, given the first puck experiences an impulse of -1.05 N⋅s?
What is the impulse experienced by the stationary hockey puck during the collision, given the first puck experiences an impulse of -1.05 N⋅s?
A 0.2 kg ball is thrown horizontally against a wall with a speed of 3 m/s. It rebounds with a speed of 2 m/s. What is the magnitude of the impulse exerted by the wall on the ball?
A 0.2 kg ball is thrown horizontally against a wall with a speed of 3 m/s. It rebounds with a speed of 2 m/s. What is the magnitude of the impulse exerted by the wall on the ball?
A spring with a spring constant $k$ is compressed a distance $x$. If the compression is doubled to $2x$, how does the potential energy stored in the spring change?
A spring with a spring constant $k$ is compressed a distance $x$. If the compression is doubled to $2x$, how does the potential energy stored in the spring change?
Two objects collide. Object A has a mass $m$ and an initial velocity $v$, and object B has a mass $2m$ and is initially at rest. If the two objects stick together after the collision, what is their velocity immediately after the collision?
Two objects collide. Object A has a mass $m$ and an initial velocity $v$, and object B has a mass $2m$ and is initially at rest. If the two objects stick together after the collision, what is their velocity immediately after the collision?
A system consists of two carts on a frictionless track. Cart A has a mass of 2 kg and an initial velocity of 3 m/s to the right. Cart B has a mass of 1 kg and is initially at rest. If the collision is perfectly elastic, what is the velocity of cart B after the collision? (Assume all motion is along a single line.)
A system consists of two carts on a frictionless track. Cart A has a mass of 2 kg and an initial velocity of 3 m/s to the right. Cart B has a mass of 1 kg and is initially at rest. If the collision is perfectly elastic, what is the velocity of cart B after the collision? (Assume all motion is along a single line.)
A ball is dropped from a height $h$ and bounces off the floor. If the coefficient of restitution between the ball and the floor is $e$ (where $0 < e < 1$), to what height will the ball rebound on the first bounce?
A ball is dropped from a height $h$ and bounces off the floor. If the coefficient of restitution between the ball and the floor is $e$ (where $0 < e < 1$), to what height will the ball rebound on the first bounce?
What is the formula to calculate linear momentum?
What is the formula to calculate linear momentum?
What type of quantity is linear momentum?
What type of quantity is linear momentum?
In an elastic collision, what best describes what occurs to the objects involved?
In an elastic collision, what best describes what occurs to the objects involved?
What is the momentum of the system comprising three bodies with the following parameters: body A (1.5kg moving east at 2.0 m/s), body B (2.0kg moving west at 3.0 m/s), and body C (5.2kg moving west at 2.5 m/s)?
What is the momentum of the system comprising three bodies with the following parameters: body A (1.5kg moving east at 2.0 m/s), body B (2.0kg moving west at 3.0 m/s), and body C (5.2kg moving west at 2.5 m/s)?
What event occurs during a perfectly inelastic collision?
What event occurs during a perfectly inelastic collision?
Which of the collision types conserves kinetic energy?
Which of the collision types conserves kinetic energy?
A 50.0 kg girl is standing at rest on a 100 kg raft, also at rest on a lake. If the girl then jumps off the raft with a horizontal velocity of 2.0 m/s relative to the shore, what is the recoil velocity of the raft relative to the shore? (Neglect any effects of water resistance).
A 50.0 kg girl is standing at rest on a 100 kg raft, also at rest on a lake. If the girl then jumps off the raft with a horizontal velocity of 2.0 m/s relative to the shore, what is the recoil velocity of the raft relative to the shore? (Neglect any effects of water resistance).
A train car of mass $m_1$ moving with velocity $v_1$ collides and locks together with a stationary train car of mass $m_2$. What is the final velocity of the combined train cars?
A train car of mass $m_1$ moving with velocity $v_1$ collides and locks together with a stationary train car of mass $m_2$. What is the final velocity of the combined train cars?
A 2 kg block moving at 3 m/s to the right collides with a 1 kg block moving at 4 m/s to the left. If the collision is perfectly inelastic, what is the velocity of the combined blocks immediately after the collision?
A 2 kg block moving at 3 m/s to the right collides with a 1 kg block moving at 4 m/s to the left. If the collision is perfectly inelastic, what is the velocity of the combined blocks immediately after the collision?
Two identical billiard balls collide on a frictionless table. Ball A is initially moving at 5 m/s to the right, and ball B is at rest. After the collision, ball A is observed to be moving at 4 m/s at an angle of 30 degrees relative to its original direction. What is the y component of the velocity of ball B after the impact, assuming the x axis is aligned with the initial direction of motion of ball A?
Two identical billiard balls collide on a frictionless table. Ball A is initially moving at 5 m/s to the right, and ball B is at rest. After the collision, ball A is observed to be moving at 4 m/s at an angle of 30 degrees relative to its original direction. What is the y component of the velocity of ball B after the impact, assuming the x axis is aligned with the initial direction of motion of ball A?
A clown with a mass of 100 kg is standing on a platform inclined at an angle of 50 degrees, 13 meters long. What is the clown's approximate potential energy with respect to the ground?
A clown with a mass of 100 kg is standing on a platform inclined at an angle of 50 degrees, 13 meters long. What is the clown's approximate potential energy with respect to the ground?
A spring requires a force of 54 N to compress it by 0.20 m. What is the spring constant of this spring?
A spring requires a force of 54 N to compress it by 0.20 m. What is the spring constant of this spring?
In the context of the Work-Energy Theorem, if a constant horizontal force (F) displaces a body of mass (m) through a horizontal distance, how is the work done on the body related to its acceleration (a)?
In the context of the Work-Energy Theorem, if a constant horizontal force (F) displaces a body of mass (m) through a horizontal distance, how is the work done on the body related to its acceleration (a)?
According to the work-energy theorem, how is the net work done on an object related to its initial and final kinetic energies?
According to the work-energy theorem, how is the net work done on an object related to its initial and final kinetic energies?
A woman pushes a 3 kg cart horizontally with a force of 500 N over a distance of 7 m, starting from rest. Assuming no friction, what is the final speed of the cart?
A woman pushes a 3 kg cart horizontally with a force of 500 N over a distance of 7 m, starting from rest. Assuming no friction, what is the final speed of the cart?
A spring with a spring constant of 850 N/m is compressed by 0.4 m. If this spring is used to launch a 500 kg ball, what is the approximate speed of the ball immediately after being launched, assuming ideal conditions and conservation of mechanical energy and no friction?
A spring with a spring constant of 850 N/m is compressed by 0.4 m. If this spring is used to launch a 500 kg ball, what is the approximate speed of the ball immediately after being launched, assuming ideal conditions and conservation of mechanical energy and no friction?
A girl with a mass of 66 kg runs up 550 steps, each 25 cm high, in 30 seconds. What is the approximate average power, in watts, expended by the girl?
A girl with a mass of 66 kg runs up 550 steps, each 25 cm high, in 30 seconds. What is the approximate average power, in watts, expended by the girl?
A daredevil decides to use a spring ($k = 1000 N/m$) to launch himself over a canyon. He manages to compress the spring by 5 meters before launch. If the daredevil and his launching apparatus have a combined mass of 200 kg, and assuming 75% of the spring's potential energy is effectively transferred into kinetic energy at the moment of launch, what is the daredevil's approximate initial velocity as he leaves the launching apparatus? (Assume no loss of contact with the spring during launch).
A daredevil decides to use a spring ($k = 1000 N/m$) to launch himself over a canyon. He manages to compress the spring by 5 meters before launch. If the daredevil and his launching apparatus have a combined mass of 200 kg, and assuming 75% of the spring's potential energy is effectively transferred into kinetic energy at the moment of launch, what is the daredevil's approximate initial velocity as he leaves the launching apparatus? (Assume no loss of contact with the spring during launch).
What is the physical interpretation of work being negative?
What is the physical interpretation of work being negative?
What does energy quantify?
What does energy quantify?
A 2 kg ball swings down a 3 m rope. What is the potential energy of the ball at the highest point?
A 2 kg ball swings down a 3 m rope. What is the potential energy of the ball at the highest point?
In a scenario where only conservative forces are acting, what happens to the total mechanical energy of a system?
In a scenario where only conservative forces are acting, what happens to the total mechanical energy of a system?
An object is moving with constant velocity. Which of the following statements is necessarily true?
An object is moving with constant velocity. Which of the following statements is necessarily true?
Two objects, one with mass m and the other with mass 2m, are lifted to the same height h. How does the potential energy of the heavier object compare to that of the lighter object?
Two objects, one with mass m and the other with mass 2m, are lifted to the same height h. How does the potential energy of the heavier object compare to that of the lighter object?
A force acts on an object, causing it to move with increasing speed in the opposite direction of the force. What can be definitively said about the sign of the work?
A force acts on an object, causing it to move with increasing speed in the opposite direction of the force. What can be definitively said about the sign of the work?
Imagine a compressed spring launching a ball horizontally across a frictionless surface. If the spring's compression is doubled, by what factor does the ball's kinetic energy increase immediately after launch?
Imagine a compressed spring launching a ball horizontally across a frictionless surface. If the spring's compression is doubled, by what factor does the ball's kinetic energy increase immediately after launch?
A 20-gram ball is thrown at a wall with a velocity of 4 m/s to the left. After colliding with the wall, the ball rebounds with a velocity of 2 m/s to the right. What is the impulse on the wall?
A 20-gram ball is thrown at a wall with a velocity of 4 m/s to the left. After colliding with the wall, the ball rebounds with a velocity of 2 m/s to the right. What is the impulse on the wall?
A child with a mass of 220 lbs slides down a frictionless water slide that is 0.35 km long and inclined at 50° with the horizontal. Which principle allows direct calculation of the child's speed at the bottom?
A child with a mass of 220 lbs slides down a frictionless water slide that is 0.35 km long and inclined at 50° with the horizontal. Which principle allows direct calculation of the child's speed at the bottom?
A 200-watt light bulb is left on for one hour. How much energy, expressed in Joules, does it consume?
A 200-watt light bulb is left on for one hour. How much energy, expressed in Joules, does it consume?
A child slides down a 350-meter long water slide inclined at 50 degrees with the horizontal. The coefficient of friction is 0.3. Which equation correctly represents the work done by friction on the child?
A child slides down a 350-meter long water slide inclined at 50 degrees with the horizontal. The coefficient of friction is 0.3. Which equation correctly represents the work done by friction on the child?
A clown with a mass of 100 kg is standing on a platform inclined at 50 degrees, 13 meters long. What would be the potential energy of the clown with respect to the ground?
A clown with a mass of 100 kg is standing on a platform inclined at 50 degrees, 13 meters long. What would be the potential energy of the clown with respect to the ground?
A spring requires a force of 54 N to compress it by 0.20 m. What is the force constant of the spring?
A spring requires a force of 54 N to compress it by 0.20 m. What is the force constant of the spring?
According to the Work-Energy Theorem, what is equal to the net work done on an object?
According to the Work-Energy Theorem, what is equal to the net work done on an object?
A 3 kg cart initially at rest is pushed horizontally with a force of 500 N over a distance of 7 m. What is the final speed of the cart?
A 3 kg cart initially at rest is pushed horizontally with a force of 500 N over a distance of 7 m. What is the final speed of the cart?
Energy can change form, but what remains constant according to the law of conservation of mechanical energy?
Energy can change form, but what remains constant according to the law of conservation of mechanical energy?
A spring with a spring constant $k = 850 \text{ N/m}$ is compressed by 0.4 m. If this spring launches a 500 kg ball, what is the approximate speed of the ball immediately after being launched, assuming ideal conditions?
A spring with a spring constant $k = 850 \text{ N/m}$ is compressed by 0.4 m. If this spring launches a 500 kg ball, what is the approximate speed of the ball immediately after being launched, assuming ideal conditions?
What is the definition of power?
What is the definition of power?
A girl with a mass of 66 kg runs up 550 steps, each 25 cm high, in 30 seconds. What is the power, in watts, expended by the girl?
A girl with a mass of 66 kg runs up 550 steps, each 25 cm high, in 30 seconds. What is the power, in watts, expended by the girl?
What is the momentum of a 5kg object moving at a velocity of 2 m/s east?
What is the momentum of a 5kg object moving at a velocity of 2 m/s east?
A 2 kg ball is moving at 3 m/s and collides elastically with a stationary 1 kg ball. What quantity is conserved in this collision?
A 2 kg ball is moving at 3 m/s and collides elastically with a stationary 1 kg ball. What quantity is conserved in this collision?
A 2000 kg car is traveling at 20 m/s. When the driver applies the brakes the car decelerates and comes to a stop. The impulse on the car is:
A 2000 kg car is traveling at 20 m/s. When the driver applies the brakes the car decelerates and comes to a stop. The impulse on the car is:
A 1000 kg car is moving at 30 m/s. What is the magnitude of the force required to stop the car in 10 seconds?
A 1000 kg car is moving at 30 m/s. What is the magnitude of the force required to stop the car in 10 seconds?
In an inelastic collision involving two objects, what happens to the total kinetic energy of the system?
In an inelastic collision involving two objects, what happens to the total kinetic energy of the system?
Consider a perfectly inelastic collision between two objects. Which of the following statements is true?
Consider a perfectly inelastic collision between two objects. Which of the following statements is true?
Two carts collide on a frictionless track. Cart A has a mass of $m$ and an initial velocity of $v$. Cart B has a mass of $2m$ and is initially at rest. If the carts stick together after the collision, what is their final velocity?
Two carts collide on a frictionless track. Cart A has a mass of $m$ and an initial velocity of $v$. Cart B has a mass of $2m$ and is initially at rest. If the carts stick together after the collision, what is their final velocity?
A 5 kg bowling ball moving at 10 m/s strikes a 1 kg pin. If the pin moves forward at 1 m/s and the collision is perfectly elastic, what is the new velocity of the bowling ball?
A 5 kg bowling ball moving at 10 m/s strikes a 1 kg pin. If the pin moves forward at 1 m/s and the collision is perfectly elastic, what is the new velocity of the bowling ball?
Two balls of equal mass, A and B, undergo a collision. Ball A is initially moving with velocity $v$, and ball B is at rest. If the collision is perfectly elastic and one-dimensional, what are the velocities of the balls after the collision?
Two balls of equal mass, A and B, undergo a collision. Ball A is initially moving with velocity $v$, and ball B is at rest. If the collision is perfectly elastic and one-dimensional, what are the velocities of the balls after the collision?
Cart A (mass $m_A$ and velocity $v_A$) collides head-on with Cart B (mass $m_B$ and velocity $v_B$). Given the coefficient of restitution $e = 0$, which statement accurately describes their motion immediately Post-Collision?
Cart A (mass $m_A$ and velocity $v_A$) collides head-on with Cart B (mass $m_B$ and velocity $v_B$). Given the coefficient of restitution $e = 0$, which statement accurately describes their motion immediately Post-Collision?
A 15.0 kg cart moving to the right at 4.0 m/s collides with a 6.5 kg cart moving to the left at 2.0 m/s. If the carts stick together, what is the magnitude of the total momentum of the system before the collision?
A 15.0 kg cart moving to the right at 4.0 m/s collides with a 6.5 kg cart moving to the left at 2.0 m/s. If the carts stick together, what is the magnitude of the total momentum of the system before the collision?
A girl with a mass of 50.0 kg jumps horizontally from a raft with a mass of 100 kg. If the girl's velocity upon jumping is 4.00 m/s, what is the magnitude of the impulse imparted to the raft?
A girl with a mass of 50.0 kg jumps horizontally from a raft with a mass of 100 kg. If the girl's velocity upon jumping is 4.00 m/s, what is the magnitude of the impulse imparted to the raft?
A hockey puck of mass 0.15 kg, moving at 5 m/s, collides head-on with an identical stationary puck. If the first puck stops completely after the collision, what is the velocity of the second puck after the collision?
A hockey puck of mass 0.15 kg, moving at 5 m/s, collides head-on with an identical stationary puck. If the first puck stops completely after the collision, what is the velocity of the second puck after the collision?
A force of 50 N is applied to a 10 kg cart for 5 seconds. Assuming the cart starts from rest, what is the final speed of the cart after the force is applied?
A force of 50 N is applied to a 10 kg cart for 5 seconds. Assuming the cart starts from rest, what is the final speed of the cart after the force is applied?
A hockey puck (A) with a mass of 0.15 kg is sliding on ice with a velocity of 5 m/s and collides with a stationary puck (B) with the same mass. After the collision puck A moves at a velocity of 2 m/s in the opposite direction. What is the velocity of puck B after the collision?
A hockey puck (A) with a mass of 0.15 kg is sliding on ice with a velocity of 5 m/s and collides with a stationary puck (B) with the same mass. After the collision puck A moves at a velocity of 2 m/s in the opposite direction. What is the velocity of puck B after the collision?
A 0.15 kg hockey puck moving to the right at 5 m/s collides with an identical stationary puck. After the collision, the first puck moves at 2 m/s to the left. What is the impulse experienced by the second puck?
A 0.15 kg hockey puck moving to the right at 5 m/s collides with an identical stationary puck. After the collision, the first puck moves at 2 m/s to the left. What is the impulse experienced by the second puck?
A 15.0 kg cart moving to the right with a speed of 4.0 m/s collides with a 6.5 kg cart moving to the left with a speed of 2.0 m/s. If the carts stick together, what is the approximate percentage of kinetic energy lost during the collision?
A 15.0 kg cart moving to the right with a speed of 4.0 m/s collides with a 6.5 kg cart moving to the left with a speed of 2.0 m/s. If the carts stick together, what is the approximate percentage of kinetic energy lost during the collision?
A force is applied to a cart for a certain amount of time. Which of the following changes would result in the greatest impulse on the cart, assuming the same force is applied in each case?
A force is applied to a cart for a certain amount of time. Which of the following changes would result in the greatest impulse on the cart, assuming the same force is applied in each case?
Consider two objects with masses $m_1$ and $m_2$ ($m_1 > m_2$) possessing equal kinetic energies. If both objects experience the same constant braking force, which object will travel a greater distance before coming to a stop?
Consider two objects with masses $m_1$ and $m_2$ ($m_1 > m_2$) possessing equal kinetic energies. If both objects experience the same constant braking force, which object will travel a greater distance before coming to a stop?
Two identical carts, A and B, are on a frictionless track. Cart A is moving with a velocity $v$ and collides elastically with cart B, which is initially at rest. After the collision, what are the velocities of cart A ($v_A$) and cart B ($v_B$)?
Two identical carts, A and B, are on a frictionless track. Cart A is moving with a velocity $v$ and collides elastically with cart B, which is initially at rest. After the collision, what are the velocities of cart A ($v_A$) and cart B ($v_B$)?
A 20-gram ball is thrown at a wall with a velocity of 4 m/s to the left. After colliding, it rebounds with a velocity of 2 m/s to the right. What is the direction of the impulse on the ball?
A 20-gram ball is thrown at a wall with a velocity of 4 m/s to the left. After colliding, it rebounds with a velocity of 2 m/s to the right. What is the direction of the impulse on the ball?
A child slides down a 350-meter long water slide inclined at 50 degrees with the horizontal. Assuming the slide is frictionless, what additional information is needed to determine the child's speed at the bottom using conservation of energy alone?
A child slides down a 350-meter long water slide inclined at 50 degrees with the horizontal. Assuming the slide is frictionless, what additional information is needed to determine the child's speed at the bottom using conservation of energy alone?
A 10,000 kg truck moves at 12 m/s. A 2000 kg SUV needs to have the same kinetic energy as the truck. What is the SUV's speed?
A 10,000 kg truck moves at 12 m/s. A 2000 kg SUV needs to have the same kinetic energy as the truck. What is the SUV's speed?
A 200-watt light bulb is left on for one hour. Assuming all the electrical energy is converted to heat and light, how does the energy used relate to the kinetic energy of an 80-kg person running?
A 200-watt light bulb is left on for one hour. Assuming all the electrical energy is converted to heat and light, how does the energy used relate to the kinetic energy of an 80-kg person running?
Consider a scenario where a child slides down a water slide with friction. How does the work done by friction affect the child's final kinetic energy at the bottom of the slide compared to a frictionless scenario?
Consider a scenario where a child slides down a water slide with friction. How does the work done by friction affect the child's final kinetic energy at the bottom of the slide compared to a frictionless scenario?
If an object is displaced but no net work is done on it, what can be inferred about the forces acting on the object?
If an object is displaced but no net work is done on it, what can be inferred about the forces acting on the object?
Two objects, A and B, have the same mass. Object A is lifted to a height of $h$, and object B is lifted to a height of $2h$. How does the potential energy of object B compare to that of object A?
Two objects, A and B, have the same mass. Object A is lifted to a height of $h$, and object B is lifted to a height of $2h$. How does the potential energy of object B compare to that of object A?
A box is pushed across a rough floor at a constant speed. Considering the work-energy theorem, what can be said about the total work done on the box?
A box is pushed across a rough floor at a constant speed. Considering the work-energy theorem, what can be said about the total work done on the box?
A car with a mass of 1500 kg is traveling at a constant velocity of 20 m/s. What is the magnitude of the car's linear momentum?
A car with a mass of 1500 kg is traveling at a constant velocity of 20 m/s. What is the magnitude of the car's linear momentum?
A spring is compressed, storing potential energy. If the spring is compressed twice as far, how does the stored potential energy change?
A spring is compressed, storing potential energy. If the spring is compressed twice as far, how does the stored potential energy change?
A roller coaster car travels from the bottom of a hill to the top of a hill. Assuming negligible friction, how does its total mechanical energy change?
A roller coaster car travels from the bottom of a hill to the top of a hill. Assuming negligible friction, how does its total mechanical energy change?
Two carts collide on a frictionless track. Cart A has a mass of 2 kg and is moving to the right at 3 m/s. Cart B has a mass of 1 kg and is moving to the left at 4 m/s. If the two carts stick together after the collision, what is their final velocity?
Two carts collide on a frictionless track. Cart A has a mass of 2 kg and is moving to the right at 3 m/s. Cart B has a mass of 1 kg and is moving to the left at 4 m/s. If the two carts stick together after the collision, what is their final velocity?
A 70 kg sprinter accelerates from rest to a speed of 10 m/s over a distance of 25 meters. What is the average power output of the sprinter during this acceleration?
A 70 kg sprinter accelerates from rest to a speed of 10 m/s over a distance of 25 meters. What is the average power output of the sprinter during this acceleration?
A 2 kg ball is dropped from a height of 5 meters. If all of the potential energy is converted to kinetic energy just before impact with the ground, what is the approximate ball's kinetic energy just before impact?
A 2 kg ball is dropped from a height of 5 meters. If all of the potential energy is converted to kinetic energy just before impact with the ground, what is the approximate ball's kinetic energy just before impact?
A 2 kg ball is dropped from a height of 5 meters. After hitting the ground, it rebounds to a height of 3 meters. How much mechanical energy was lost during the bounce?
A 2 kg ball is dropped from a height of 5 meters. After hitting the ground, it rebounds to a height of 3 meters. How much mechanical energy was lost during the bounce?
A 0.5 kg block is pushed up an inclined plane with a force of 5 N for a distance of 2 meters. If the plane is frictionless, what is the work done on the block by the force?
A 0.5 kg block is pushed up an inclined plane with a force of 5 N for a distance of 2 meters. If the plane is frictionless, what is the work done on the block by the force?
A car's engine delivers 50 horsepower to the wheels. If the car maintains a constant speed of 25 m/s, what is the magnitude of the force resisting the car's motion (e.g., air resistance, friction)? (Note: 1 horsepower = 746 watts)
A car's engine delivers 50 horsepower to the wheels. If the car maintains a constant speed of 25 m/s, what is the magnitude of the force resisting the car's motion (e.g., air resistance, friction)? (Note: 1 horsepower = 746 watts)
A motor lifts a 100 kg object to a height of 10 meters in 5 seconds. What is the power output of the motor?
A motor lifts a 100 kg object to a height of 10 meters in 5 seconds. What is the power output of the motor?
A spring with a spring constant of 200 N/m is compressed by 0.2 meters. What is the potential energy stored in the spring?
A spring with a spring constant of 200 N/m is compressed by 0.2 meters. What is the potential energy stored in the spring?
An inelastic collision occurs between two objects. Which of the following statements is true about the kinetic energy of the system?
An inelastic collision occurs between two objects. Which of the following statements is true about the kinetic energy of the system?
A 2 kg block is initially moving at a velocity of 5 m/s. If a constant force of 4 N is applied to the block in the opposite direction of its motion, what is the block's velocity after 3 seconds?
A 2 kg block is initially moving at a velocity of 5 m/s. If a constant force of 4 N is applied to the block in the opposite direction of its motion, what is the block's velocity after 3 seconds?
A 50 kg girl jumps horizontally off a 100 kg raft that is initially at rest. If the girl's velocity upon jumping is 2 m/s, what is the recoil velocity of the raft?
A 50 kg girl jumps horizontally off a 100 kg raft that is initially at rest. If the girl's velocity upon jumping is 2 m/s, what is the recoil velocity of the raft?
A 1000 kg car accelerates from rest to 20 m/s with a constant acceleration. If the engine provides a constant power of 20,000 W, how long does it take for the car to reach this speed?
A 1000 kg car accelerates from rest to 20 m/s with a constant acceleration. If the engine provides a constant power of 20,000 W, how long does it take for the car to reach this speed?
In the scenario where a girl jumps horizontally from a raft, what principle is most directly applied to determine the raft's final velocity?
In the scenario where a girl jumps horizontally from a raft, what principle is most directly applied to determine the raft's final velocity?
A 15.0 kg cart moving at 4.0 m/s to the right collides with a 6.5 kg cart moving at 2.0 m/s to the left. If the carts stick together, what is the direction of their final velocity?
A 15.0 kg cart moving at 4.0 m/s to the right collides with a 6.5 kg cart moving at 2.0 m/s to the left. If the carts stick together, what is the direction of their final velocity?
A 15.0 kg cart collides with a 6.5 kg cart. They stick together and move at a final speed of 2.19 m/s. What happened to the kinetic energy in such a collision?
A 15.0 kg cart collides with a 6.5 kg cart. They stick together and move at a final speed of 2.19 m/s. What happened to the kinetic energy in such a collision?
A 15.0 kg cart moving to the right collides with a 6.5 kg cart moving to the left. If the carts stick together, the problem can be solved EXCEPT by using which of the following equations or combinations?
A 15.0 kg cart moving to the right collides with a 6.5 kg cart moving to the left. If the carts stick together, the problem can be solved EXCEPT by using which of the following equations or combinations?
A 50 N force is applied to a 10 kg cart for 5 seconds. If the cart was already moving at 2 m/s, what is its change in momentum after the force is applied?
A 50 N force is applied to a 10 kg cart for 5 seconds. If the cart was already moving at 2 m/s, what is its change in momentum after the force is applied?
A hockey puck collides with a stationary puck of equal mass on ice. If the first puck moves at 2 m/s in the opposite direction after the collision. What can be said about the impulse?
A hockey puck collides with a stationary puck of equal mass on ice. If the first puck moves at 2 m/s in the opposite direction after the collision. What can be said about the impulse?
A hockey puck of mass 0.15 kg, moving at 5 m/s, collides with an identical stationary puck. After the collision, the first puck moves at 2 m/s in the opposite direction. What is the change in momentum of the second puck?
A hockey puck of mass 0.15 kg, moving at 5 m/s, collides with an identical stationary puck. After the collision, the first puck moves at 2 m/s in the opposite direction. What is the change in momentum of the second puck?
During a collision between two objects, which of the following statements correctly describes the relationship between the impulse experienced by each object?
During a collision between two objects, which of the following statements correctly describes the relationship between the impulse experienced by each object?
A 0.15 kg hockey puck moving at 5 m/s collides with an identical stationary puck. If the first puck experiences an impulse of -1.05 N⋅s during the collision, what final speed does the second puck attain immediately after the collision?
A 0.15 kg hockey puck moving at 5 m/s collides with an identical stationary puck. If the first puck experiences an impulse of -1.05 N⋅s during the collision, what final speed does the second puck attain immediately after the collision?
A force of 50 N is applied to a cart for 5 seconds. Which statement explains what would happen if the mass of the cart was doubled?
A force of 50 N is applied to a cart for 5 seconds. Which statement explains what would happen if the mass of the cart was doubled?
A spring with a force constant of 270 N/m is compressed by 0.50 m. If this spring launches a 0.1 kg ball horizontally, what is the approximate launch speed of the ball, assuming all potential energy is converted to kinetic energy?
A spring with a force constant of 270 N/m is compressed by 0.50 m. If this spring launches a 0.1 kg ball horizontally, what is the approximate launch speed of the ball, assuming all potential energy is converted to kinetic energy?
A 100 kg clown is catapulted from a cannon and reaches a maximum height of 10.01m. If we define the clown's initial position in the cannon as zero potential energy, what is the change in the clown's potential energy at his max height?
A 100 kg clown is catapulted from a cannon and reaches a maximum height of 10.01m. If we define the clown's initial position in the cannon as zero potential energy, what is the change in the clown's potential energy at his max height?
A 3kg cart, initially at rest, is pushed horizontally with a force of 500N over a distance of 7m. Assuming a constant force, how does the Work-Energy Theorem apply to determine the cart's final kinetic energy?
A 3kg cart, initially at rest, is pushed horizontally with a force of 500N over a distance of 7m. Assuming a constant force, how does the Work-Energy Theorem apply to determine the cart's final kinetic energy?
A tandem bicycle team experiences a combined drag force of 165 N while maintaining a constant speed of 10 m/s. If each rider contributes equally to the power output, what is the power required from each rider to overcome the drag?
A tandem bicycle team experiences a combined drag force of 165 N while maintaining a constant speed of 10 m/s. If each rider contributes equally to the power output, what is the power required from each rider to overcome the drag?
A spring with a spring constant $k = 850 N/m$ is compressed by 0.4 m. This compressed spring is then used to launch a 0.5 kg ball horizontally. Assuming ideal conditions and conservation of mechanical energy, what is the approximate speed of the ball immediately after being launched?
A spring with a spring constant $k = 850 N/m$ is compressed by 0.4 m. This compressed spring is then used to launch a 0.5 kg ball horizontally. Assuming ideal conditions and conservation of mechanical energy, what is the approximate speed of the ball immediately after being launched?
A 66 kg girl runs up 550 steps, each 25 cm high, in 30 seconds. Assuming constant motion, how would you calculate the power expended by the girl?
A 66 kg girl runs up 550 steps, each 25 cm high, in 30 seconds. Assuming constant motion, how would you calculate the power expended by the girl?
A coiled spring requires a force of 54 N to compress it by 0.20 m. How much additional work is required to compress the spring from 0.20 m to 0.50 m?
A coiled spring requires a force of 54 N to compress it by 0.20 m. How much additional work is required to compress the spring from 0.20 m to 0.50 m?
Suppose a spring is compressed by 0.4 m. How does the amount of potential energy stored change if the spring is then compressed an additional 0.2 m, resulting in a total compression of 0.6 m?
Suppose a spring is compressed by 0.4 m. How does the amount of potential energy stored change if the spring is then compressed an additional 0.2 m, resulting in a total compression of 0.6 m?
A 3kg cart is at rest. A woman exerts a constant horizontal force of 500 N on the cart over a distance of 7 m. Assuming no friction, what is the work done? State your answer in scientific notation, 2 significant figures.
A 3kg cart is at rest. A woman exerts a constant horizontal force of 500 N on the cart over a distance of 7 m. Assuming no friction, what is the work done? State your answer in scientific notation, 2 significant figures.
How does mechanical energy conservation apply to a system where only conservative forces are acting?
How does mechanical energy conservation apply to a system where only conservative forces are acting?
A 2 kg block slides down a frictionless ramp from a height of 5 meters. What principle allows for the easiest calculation of the block's speed at the bottom?
A 2 kg block slides down a frictionless ramp from a height of 5 meters. What principle allows for the easiest calculation of the block's speed at the bottom?
A 50-gram ball is dropped from a height of 10 meters. Air resistance is negligible. What is the approximate kinetic energy of the ball just before it hits the ground?
A 50-gram ball is dropped from a height of 10 meters. Air resistance is negligible. What is the approximate kinetic energy of the ball just before it hits the ground?
A 1500 kg car accelerates from 10 m/s to 20 m/s. What is the net work done on the car during this acceleration?
A 1500 kg car accelerates from 10 m/s to 20 m/s. What is the net work done on the car during this acceleration?
Two carts collide on a frictionless track. Cart A has a mass of 2 kg and an initial velocity of 3 m/s to the right. Cart B has a mass of 1 kg and is initially at rest. If the carts stick together after the collision, what is their final velocity?
Two carts collide on a frictionless track. Cart A has a mass of 2 kg and an initial velocity of 3 m/s to the right. Cart B has a mass of 1 kg and is initially at rest. If the carts stick together after the collision, what is their final velocity?
A machine lifts a 100 kg object to a height of 10 meters in 5 seconds. Assuming constant power output, how much power is required?
A machine lifts a 100 kg object to a height of 10 meters in 5 seconds. Assuming constant power output, how much power is required?
A shopper applies a force of 40 N to a grocery cart, but the cart only moves 3 meters due to a slight incline. If the work done is 100 J, what is the angle between the force and the direction of motion?
A shopper applies a force of 40 N to a grocery cart, but the cart only moves 3 meters due to a slight incline. If the work done is 100 J, what is the angle between the force and the direction of motion?
An elevator cable lifts a 1200 kg elevator a distance of 30 meters. If the work done by the tension in the cable is 423,360 J, is the elevator moving at a constant speed, accelerating upwards, or accelerating downwards?
An elevator cable lifts a 1200 kg elevator a distance of 30 meters. If the work done by the tension in the cable is 423,360 J, is the elevator moving at a constant speed, accelerating upwards, or accelerating downwards?
A crane lifts a 500 kg beam vertically a distance of 10 meters at a constant speed. What is the work done by the crane?
A crane lifts a 500 kg beam vertically a distance of 10 meters at a constant speed. What is the work done by the crane?
What happens to the kinetic energy of an object if its mass is doubled and its velocity is halved?
What happens to the kinetic energy of an object if its mass is doubled and its velocity is halved?
A 5 kg ball is dropped from a height of 20 meters. Assuming air resistance is negligible, what is its approximate kinetic energy just before it hits the ground?
A 5 kg ball is dropped from a height of 20 meters. Assuming air resistance is negligible, what is its approximate kinetic energy just before it hits the ground?
An electric motor lifts a 10 kg mass a vertical distance of 5 meters in 2 seconds. Given a 120-W input, what is the efficiency of the motor at lifting the weight?
An electric motor lifts a 10 kg mass a vertical distance of 5 meters in 2 seconds. Given a 120-W input, what is the efficiency of the motor at lifting the weight?
A 2000 kg car is traveling at 20 m/s. What is the magnitude of the car's linear momentum?
A 2000 kg car is traveling at 20 m/s. What is the magnitude of the car's linear momentum?
A 2 kg block slides down a frictionless inclined plane of 30 degrees to the horizontal. During the slide, what happens to the block's kinetic energy and potential energy?
A 2 kg block slides down a frictionless inclined plane of 30 degrees to the horizontal. During the slide, what happens to the block's kinetic energy and potential energy?
Two cars collide. Assuming the system is isolated, what happens to the total momentum of the two-car system during the collision, regardless of whether it's elastic, inelastic, or perfectly inelastic?
Two cars collide. Assuming the system is isolated, what happens to the total momentum of the two-car system during the collision, regardless of whether it's elastic, inelastic, or perfectly inelastic?
Compared to an elastic collision, what is a key characteristic of an inelastic collision?
Compared to an elastic collision, what is a key characteristic of an inelastic collision?
In a perfectly inelastic collision, what happens to the objects involved?
In a perfectly inelastic collision, what happens to the objects involved?
A 2 kg ball moving at 3 m/s collides head-on with a 1 kg ball at rest. If the collision is perfectly inelastic, what is the velocity of the combined mass after the collision?
A 2 kg ball moving at 3 m/s collides head-on with a 1 kg ball at rest. If the collision is perfectly inelastic, what is the velocity of the combined mass after the collision?
A 3 kg object has a velocity of 5 m/s. What is its kinetic energy?
A 3 kg object has a velocity of 5 m/s. What is its kinetic energy?
A 75 kg man runs up a flight of stairs 5 meters high in 10 seconds. What is the man's power output?
A 75 kg man runs up a flight of stairs 5 meters high in 10 seconds. What is the man's power output?
Is kinetic energy a vector or a scalar quantity?
Is kinetic energy a vector or a scalar quantity?
At what angle between the force and displacement is the work done at its minimum?
At what angle between the force and displacement is the work done at its minimum?
An object of mass $m$ is raised vertically at a constant speed of $v$ by an external force. How is the power exerted by the external force related to the object's weight?
An object of mass $m$ is raised vertically at a constant speed of $v$ by an external force. How is the power exerted by the external force related to the object's weight?
A coiled spring requires a force of 54 N to compress it by 0.20 m. What force is needed to compress the spring by 0.50 m?
A coiled spring requires a force of 54 N to compress it by 0.20 m. What force is needed to compress the spring by 0.50 m?
A girl runs up 550 steps, each 25 cm high, in 30 seconds. If the girl's mass is 66 kg, what is the power expended by the girl?
A girl runs up 550 steps, each 25 cm high, in 30 seconds. If the girl's mass is 66 kg, what is the power expended by the girl?
A spring with a spring constant of 850 N/m is compressed by 0.4 m. If this spring is used to launch a 0.5 kg ball, what is the approximate speed of the ball immediately after being launched, assuming ideal conditions and conservation of mechanical energy?
A spring with a spring constant of 850 N/m is compressed by 0.4 m. If this spring is used to launch a 0.5 kg ball, what is the approximate speed of the ball immediately after being launched, assuming ideal conditions and conservation of mechanical energy?
A 100 kg clown is launched from a cannon at an angle such that his maximum height is 13 m with respect to his launch position. If the launch angle with respect to the ground is 50 degrees, what is the clown's approximate potential energy at the top of the trajectory?
A 100 kg clown is launched from a cannon at an angle such that his maximum height is 13 m with respect to his launch position. If the launch angle with respect to the ground is 50 degrees, what is the clown's approximate potential energy at the top of the trajectory?
Which of the following statements best illustrates the principle of conservation of mechanical energy?
Which of the following statements best illustrates the principle of conservation of mechanical energy?
A girl jumps horizontally from a raft, what equation should be used to solve for the speed of the raft if we know all other values?
A girl jumps horizontally from a raft, what equation should be used to solve for the speed of the raft if we know all other values?
A 15.0kg cart moving to the right at 4.0 m/s collides with a 6.5kg cart moving to the left at 2.0 m/s. If the carts stick together, what is the magnitude of the final velocity of the two carts?
A 15.0kg cart moving to the right at 4.0 m/s collides with a 6.5kg cart moving to the left at 2.0 m/s. If the carts stick together, what is the magnitude of the final velocity of the two carts?
A force of 50 N is applied to a cart for 5 seconds. If the cart has a mass of 10 kg, what is the impulse experienced by the cart?
A force of 50 N is applied to a cart for 5 seconds. If the cart has a mass of 10 kg, what is the impulse experienced by the cart?
A hockey puck with a mass of 0.15 kg is sliding on ice with a velocity of 5 m/s. It collides with a stationary puck with the same mass. After the collision, the first puck moves at a velocity of 2 m/s in the opposite direction. What is the magnitude of the impulse experienced by the first puck during the collision?
A hockey puck with a mass of 0.15 kg is sliding on ice with a velocity of 5 m/s. It collides with a stationary puck with the same mass. After the collision, the first puck moves at a velocity of 2 m/s in the opposite direction. What is the magnitude of the impulse experienced by the first puck during the collision?
A 0.15 kg hockey puck moving at 5 m/s collides with an identical, stationary puck. After the collision, the first puck moves at 2 m/s in the opposite direction. What is the magnitude of the impulse experienced by the second puck?
A 0.15 kg hockey puck moving at 5 m/s collides with an identical, stationary puck. After the collision, the first puck moves at 2 m/s in the opposite direction. What is the magnitude of the impulse experienced by the second puck?
Two carts collide. Cart A has a mass of $m_A$ and an initial velocity of $v_{Ai}$, while cart B has a mass of $m_B$ and is initially at rest. If the carts stick together after the collision, what is the final velocity, $v_f$, of the combined carts?
Two carts collide. Cart A has a mass of $m_A$ and an initial velocity of $v_{Ai}$, while cart B has a mass of $m_B$ and is initially at rest. If the carts stick together after the collision, what is the final velocity, $v_f$, of the combined carts?
A spring with a spring constant $k$ is compressed a distance $x$ from its equilibrium position. If the spring is then used to launch a ball of mass $m$ horizontally, what is the approximate launch speed, $v$, of the ball (assuming energy is conserved)?
A spring with a spring constant $k$ is compressed a distance $x$ from its equilibrium position. If the spring is then used to launch a ball of mass $m$ horizontally, what is the approximate launch speed, $v$, of the ball (assuming energy is conserved)?
An object of mass $m$ is dropped from a height $h$ and strikes the ground. If air resistance is negligible, what is the approximate speed of the object just before it hits the ground?
An object of mass $m$ is dropped from a height $h$ and strikes the ground. If air resistance is negligible, what is the approximate speed of the object just before it hits the ground?
A car of mass $m$ is moving with a velocity $v$. If the mass of the car is doubled and the kinetic energy remains the same, what is the new velocity of the car?
A car of mass $m$ is moving with a velocity $v$. If the mass of the car is doubled and the kinetic energy remains the same, what is the new velocity of the car?
Cart A collides elastically with Cart B. Which of the following statements must be true?
Cart A collides elastically with Cart B. Which of the following statements must be true?
A 20-gram ball is thrown at a wall with a velocity of 4 m/s to the left. After colliding, it rebounds with a velocity of 2 m/s to the right. What is the magnitude of the change in momentum of the ball?
A 20-gram ball is thrown at a wall with a velocity of 4 m/s to the left. After colliding, it rebounds with a velocity of 2 m/s to the right. What is the magnitude of the change in momentum of the ball?
A child slides down a 350-meter long water slide inclined at 50 degrees with the horizontal. Assuming the slide is frictionless, which quantity remains constant throughout the slide?
A child slides down a 350-meter long water slide inclined at 50 degrees with the horizontal. Assuming the slide is frictionless, which quantity remains constant throughout the slide?
A 10,000-kg truck is moving at 12 m/s. An SUV has a mass of 2000 kg. What speed must the SUV attain in order to have the same momentum as the truck?
A 10,000-kg truck is moving at 12 m/s. An SUV has a mass of 2000 kg. What speed must the SUV attain in order to have the same momentum as the truck?
A 200-watt light bulb is left on for one hour. How much energy does it consume?
A 200-watt light bulb is left on for one hour. How much energy does it consume?
A child slides down a 350-meter long water slide inclined at 50 degrees with the horizontal. Assuming the coefficient of friction is 0.3, which of the following forces directly opposes the child's motion?
A child slides down a 350-meter long water slide inclined at 50 degrees with the horizontal. Assuming the coefficient of friction is 0.3, which of the following forces directly opposes the child's motion?
A shopper applies a force to a grocery cart, but the cart doesn't move. According to the definition of work, how much work is done by the shopper?
A shopper applies a force to a grocery cart, but the cart doesn't move. According to the definition of work, how much work is done by the shopper?
An object is moved horizontally with a force of 10 N. What angle between the force and the displacement will result in the smallest amount of work being done?
An object is moved horizontally with a force of 10 N. What angle between the force and the displacement will result in the smallest amount of work being done?
A crane lifts a 1000 kg beam vertically at a constant speed. If the work done by the crane is 200,000 J, how high was the beam lifted?
A crane lifts a 1000 kg beam vertically at a constant speed. If the work done by the crane is 200,000 J, how high was the beam lifted?
Which of the following scenarios involves the conversion of potential energy to kinetic energy?
Which of the following scenarios involves the conversion of potential energy to kinetic energy?
A moving car's kinetic energy quadruples. What happens to its velocity?
A moving car's kinetic energy quadruples. What happens to its velocity?
How does increasing an object’s mass affect its kinetic energy, assuming its velocity remains constant?
How does increasing an object’s mass affect its kinetic energy, assuming its velocity remains constant?
A 0.5 kg ball is thrown upwards with an initial velocity of 20 m/s. Neglecting air resistance, what is the maximum height the ball reaches?
A 0.5 kg ball is thrown upwards with an initial velocity of 20 m/s. Neglecting air resistance, what is the maximum height the ball reaches?
Consider a roller coaster. At which point does the roller coaster have the maximum kinetic energy, assuming no friction or air resistance?
Consider a roller coaster. At which point does the roller coaster have the maximum kinetic energy, assuming no friction or air resistance?
A 100kg clown is standing on a platform that is angled 50° to the ground. If the vertical height is approximately 10.01 m, approximately what is the clown's potential energy with respect to the ground?
A 100kg clown is standing on a platform that is angled 50° to the ground. If the vertical height is approximately 10.01 m, approximately what is the clown's potential energy with respect to the ground?
A spring requires a force of 54N to compress it by 0.20m. What force is needed to compress the spring by 0.50m?
A spring requires a force of 54N to compress it by 0.20m. What force is needed to compress the spring by 0.50m?
A girl jumps horizontally from a raft. If the girl's velocity upon jumping is 4.00 m/s, and the combined mass of the girl and raft is 150 kg, what principle is most directly applied to find the final velocity of the raft?
A girl jumps horizontally from a raft. If the girl's velocity upon jumping is 4.00 m/s, and the combined mass of the girl and raft is 150 kg, what principle is most directly applied to find the final velocity of the raft?
A 15.0 kg cart moving to the right collides with a 6.5 kg cart moving to the left. If they stick together, and the final velocity is positive, what does this indicate?
A 15.0 kg cart moving to the right collides with a 6.5 kg cart moving to the left. If they stick together, and the final velocity is positive, what does this indicate?
In the scenario where two carts collide and stick together, what happens to the total kinetic energy of the system?
In the scenario where two carts collide and stick together, what happens to the total kinetic energy of the system?
According to the Work-Energy Theorem, how is work related to kinetic energy?
According to the Work-Energy Theorem, how is work related to kinetic energy?
A force is applied to a cart for a certain time. How does increasing the time the force is applied affect the impulse?
A force is applied to a cart for a certain time. How does increasing the time the force is applied affect the impulse?
What happens to the magnitude of the impulse on a hockey puck if the collision time with another puck is decreased, but the change in momentum remains the same?
What happens to the magnitude of the impulse on a hockey puck if the collision time with another puck is decreased, but the change in momentum remains the same?
A spring (k = 850 N/m) is compressed 0.4 m and used to launch a 500 kg ball. What is the approximate speed it can impart to the ball?
A spring (k = 850 N/m) is compressed 0.4 m and used to launch a 500 kg ball. What is the approximate speed it can impart to the ball?
A hockey puck collides with a stationary puck of equal mass on frictionless ice. If the first puck stops completely after the collision, what can be said about the velocity of the second puck?
A hockey puck collides with a stationary puck of equal mass on frictionless ice. If the first puck stops completely after the collision, what can be said about the velocity of the second puck?
A girl with a mass of 66kg runs up 550 steps, each 25cm high, in 30 seconds. Approximately how much power, in watts, does the girl expend?
A girl with a mass of 66kg runs up 550 steps, each 25cm high, in 30 seconds. Approximately how much power, in watts, does the girl expend?
In a collision between two identical hockey pucks, where one is initially stationary, how is the total momentum of the system distributed immediately after the collision if the collision is perfectly elastic?
In a collision between two identical hockey pucks, where one is initially stationary, how is the total momentum of the system distributed immediately after the collision if the collision is perfectly elastic?
A 0.15 kg hockey puck is sliding on ice with a velocity of 5 m/s. It collides with a stationary puck of the same mass. After the collision, the first puck moves at a velocity of 2 m/s in the opposite direction. Which statement is true regarding the impulse experienced by each puck?
A 0.15 kg hockey puck is sliding on ice with a velocity of 5 m/s. It collides with a stationary puck of the same mass. After the collision, the first puck moves at a velocity of 2 m/s in the opposite direction. Which statement is true regarding the impulse experienced by each puck?
A tandem bicycle team must overcome a force of 165 N to maintain a speed of 10 m/s. If each rider contributes equally, what is the power required per rider?
A tandem bicycle team must overcome a force of 165 N to maintain a speed of 10 m/s. If each rider contributes equally, what is the power required per rider?
Consider a scenario where energy is conserved. If potential energy is decreasing, what must be happening to kinetic energy?
Consider a scenario where energy is conserved. If potential energy is decreasing, what must be happening to kinetic energy?
A 50 N force is applied to a 10 kg cart for 5 seconds. If the initial velocity of the cart is non-zero, how does the impulse affect the cart's final velocity?
A 50 N force is applied to a 10 kg cart for 5 seconds. If the initial velocity of the cart is non-zero, how does the impulse affect the cart's final velocity?
A ball moving horizontally strikes a vertical wall. Which of the following statements regarding the impulse is most accurate?
A ball moving horizontally strikes a vertical wall. Which of the following statements regarding the impulse is most accurate?
A 2 kg ball is traveling east at 3 m/s. A 1 kg ball is traveling west at 4 m/s. What is the magnitude of the total momentum of the system?
A 2 kg ball is traveling east at 3 m/s. A 1 kg ball is traveling west at 4 m/s. What is the magnitude of the total momentum of the system?
Two cars collide at an intersection. If the collision is perfectly inelastic, which of the following statements is true immediately after the collision?
Two cars collide at an intersection. If the collision is perfectly inelastic, which of the following statements is true immediately after the collision?
A 2000 kg car accelerates from rest to 20 m/s in 5 seconds. What is the average power output of the car's engine during this time, given the formula $Power=Work/time$?
A 2000 kg car accelerates from rest to 20 m/s in 5 seconds. What is the average power output of the car's engine during this time, given the formula $Power=Work/time$?
A 0.5 kg ball is dropped from a height of 10 meters. What is its approximate velocity just before it hits the ground? (Assume no air resistance and $g = 9.8 m/s^2$).
A 0.5 kg ball is dropped from a height of 10 meters. What is its approximate velocity just before it hits the ground? (Assume no air resistance and $g = 9.8 m/s^2$).
A child's toy car rolls down a ramp, starting from rest. Which of the following statements best describes the energy transformations that occur?
A child's toy car rolls down a ramp, starting from rest. Which of the following statements best describes the energy transformations that occur?
A 2 kg object moving at 3 m/s collides head-on with a 1 kg object moving at -4 m/s. If the collision is perfectly elastic, what is the approximate velocity of the 2 kg object after the collision?
A 2 kg object moving at 3 m/s collides head-on with a 1 kg object moving at -4 m/s. If the collision is perfectly elastic, what is the approximate velocity of the 2 kg object after the collision?
A 75 kg student runs up a flight of stairs 5 meters high in 5 seconds. What is the student's approximate power output?
A 75 kg student runs up a flight of stairs 5 meters high in 5 seconds. What is the student's approximate power output?
A spring with a spring constant $k = 200 N/m$ is compressed by 0.3 m. How much additional work must be done to compress it another 0.2 m?
A spring with a spring constant $k = 200 N/m$ is compressed by 0.3 m. How much additional work must be done to compress it another 0.2 m?
A 1000 kg car is moving at 20 m/s. The driver slams on the brakes, and the car skids to a stop over a distance of 50 m. What is the magnitude of the average force exerted by the brakes?
A 1000 kg car is moving at 20 m/s. The driver slams on the brakes, and the car skids to a stop over a distance of 50 m. What is the magnitude of the average force exerted by the brakes?
A 2 kg block is pushed up an inclined plane that is 5 meters long and 3 meters high. If the coefficient of kinetic friction between the block and the plane is 0.2, what is the total work done to move the block to the top of the incline?
A 2 kg block is pushed up an inclined plane that is 5 meters long and 3 meters high. If the coefficient of kinetic friction between the block and the plane is 0.2, what is the total work done to move the block to the top of the incline?
Flashcards
Work
Work
Work is the energy transferred to an object when a force causes displacement.
Joule (J)
Joule (J)
The unit of work, equivalent to one Newton-meter.
Work at 0 degrees
Work at 0 degrees
Maximum when force and displacement are in the same direction.
Work at 90 degrees
Work at 90 degrees
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Energy
Energy
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Mechanical Energy
Mechanical Energy
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Kinetic Energy
Kinetic Energy
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Potential Energy
Potential Energy
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Momentum
Momentum
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Impulse
Impulse
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Momentum formula
Momentum formula
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Impulse Formula
Impulse Formula
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Conservation of Momentum
Conservation of Momentum
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Spring Constant (k)
Spring Constant (k)
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Potential Energy of a Spring
Potential Energy of a Spring
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Work-Energy Theorem
Work-Energy Theorem
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Conservation of Mechanical Energy
Conservation of Mechanical Energy
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Power
Power
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W = ΔKE
W = ΔKE
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U=1/2kx^2
U=1/2kx^2
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P=W/t
P=W/t
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Linear Momentum
Linear Momentum
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Elastic Collision
Elastic Collision
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Inelastic Collision
Inelastic Collision
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Perfectly Inelastic Collision
Perfectly Inelastic Collision
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Conservation of Linear Momentum
Conservation of Linear Momentum
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Momentum of a System
Momentum of a System
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Conservation Laws in Collisions
Conservation Laws in Collisions
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SI unit of Momentum
SI unit of Momentum
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Inertia
Inertia
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Inelastic Collision Formula
Inelastic Collision Formula
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Impulse-Momentum Theorem
Impulse-Momentum Theorem
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Closed System
Closed System
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What is Work?
What is Work?
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Work Formula (simple)
Work Formula (simple)
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Solving for Force with Work
Solving for Force with Work
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Comparing Kinetic Energies
Comparing Kinetic Energies
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Spring Force Constant (k)
Spring Force Constant (k)
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Conservation of Energy
Conservation of Energy
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Spring Potential Energy
Spring Potential Energy
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Spring Force (Hooke's Law)
Spring Force (Hooke's Law)
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Work and Kinetic Energy
Work and Kinetic Energy
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Gravitational Potential Energy
Gravitational Potential Energy
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Object's Momentum
Object's Momentum
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Impulse Definition
Impulse Definition
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Impulse-Momentum Connection
Impulse-Momentum Connection
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Impulse Calculation
Impulse Calculation
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Momentum Exchange
Momentum Exchange
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Power Formula (Velocity)
Power Formula (Velocity)
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Isolated System
Isolated System
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Momentum Conservation
Momentum Conservation
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Perfectly Inelastic
Perfectly Inelastic
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Total Momentum
Total Momentum
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Perfectly Inelastic Formula
Perfectly Inelastic Formula
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Final Velocity (Sticking)
Final Velocity (Sticking)
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Conserved Momentum
Conserved Momentum
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Sticking Collision
Sticking Collision
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Impulse Effect
Impulse Effect
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Impulse-Momentum Link
Impulse-Momentum Link
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Inelastic Nature
Inelastic Nature
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Definition of Work
Definition of Work
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Work: Scalar or Vector?
Work: Scalar or Vector?
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Maximum Work
Maximum Work
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Zero Work
Zero Work
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Negative Work
Negative Work
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Energy Definition
Energy Definition
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Mechanical Energy Defined
Mechanical Energy Defined
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Kinetic Energy Defined
Kinetic Energy Defined
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Total Momentum of a System
Total Momentum of a System
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Spring Force Constant
Spring Force Constant
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Spring Force Equation
Spring Force Equation
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Power Formula
Power Formula
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Power Formula (Force and Velocity)
Power Formula (Force and Velocity)
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Power per Rider
Power per Rider
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Calculating Spring Constant
Calculating Spring Constant
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Power (Watts)
Power (Watts)
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Momentum (Collision)
Momentum (Collision)
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System Momentum Calculation
System Momentum Calculation
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Elastic Collision characteristics
Elastic Collision characteristics
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Momentum Conservation (Girl & Raft)
Momentum Conservation (Girl & Raft)
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Final Velocity (Sticking Carts)
Final Velocity (Sticking Carts)
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Impulse Experienced (Colliding Pucks)
Impulse Experienced (Colliding Pucks)
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Impulse Example
Impulse Example
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Inelastic Equation
Inelastic Equation
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Defining Energy
Defining Energy
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Define Mechanical Energy
Define Mechanical Energy
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Defining Kinetic Energy
Defining Kinetic Energy
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Work-Kinetic Energy Theorem
Work-Kinetic Energy Theorem
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Potential Energy Definition
Potential Energy Definition
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What is Momentum?
What is Momentum?
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What is Impulse?
What is Impulse?
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What is Change in Momentum?
What is Change in Momentum?
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Work Definition (Simple)
Work Definition (Simple)
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Spring Energy Impact
Spring Energy Impact
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Girl and Raft Final Velocity
Girl and Raft Final Velocity
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Sticking Carts: Final Speed
Sticking Carts: Final Speed
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Impulse (purpose)
Impulse (purpose)
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Impulse Units
Impulse Units
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Impulse equals what?
Impulse equals what?
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Impulse between objects
Impulse between objects
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Impulse experienced by cart
Impulse experienced by cart
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Power (P)
Power (P)
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Linear Momentum (p)
Linear Momentum (p)
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System Momentum
System Momentum
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Elastic Collision Properties
Elastic Collision Properties
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Momentum Conservation (Collision)
Momentum Conservation (Collision)
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Calculating System Momentum
Calculating System Momentum
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What is a Joule?
What is a Joule?
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How is Energy defined?
How is Energy defined?
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What is Negative Work?
What is Negative Work?
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Work Formula
Work Formula
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What is Energy?
What is Energy?
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Potential Energy Calculation
Potential Energy Calculation
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Height (h)
Height (h)
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Spring Force (F)
Spring Force (F)
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Work-Energy Theorem Formula
Work-Energy Theorem Formula
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Conservation of Energy Example
Conservation of Energy Example
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Power Definition
Power Definition
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Power (in Watts)
Power (in Watts)
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Momentum Definition
Momentum Definition
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System's Total Momentum
System's Total Momentum
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Conserved quantity
Conserved quantity
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Sticking Together
Sticking Together
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System Momentum Method
System Momentum Method
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Impulse Between Two Objects
Impulse Between Two Objects
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Final Velocity (Combined Mass)
Final Velocity (Combined Mass)
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Define Impulse
Define Impulse
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Impulse Impact
Impulse Impact
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Impulse (paired objects)
Impulse (paired objects)
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Sticking carts: Speed
Sticking carts: Speed
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Momentum Units
Momentum Units
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Initial Momentum
Initial Momentum
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What creates Impulse?
What creates Impulse?
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Non-Sticking Collision
Non-Sticking Collision
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Defining Work
Defining Work
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Max Work Angle
Max Work Angle
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Zero Work Angle
Zero Work Angle
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Perfectly Inelastic Collision Defined
Perfectly Inelastic Collision Defined
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Final Velocity: Sticking Together
Final Velocity: Sticking Together
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Impulse Defined
Impulse Defined
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Impulse-Momentum Relationship
Impulse-Momentum Relationship
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Linear Momentum Defined
Linear Momentum Defined
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Closed System Definition
Closed System Definition
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Kinetic Energy in Inelastic Collisions
Kinetic Energy in Inelastic Collisions
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Change in Momentum
Change in Momentum
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Momentum equation
Momentum equation
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Impulse equation
Impulse equation
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Work Units
Work Units
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Energy Defined
Energy Defined
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Elastic Potential Energy
Elastic Potential Energy
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Restoring Force
Restoring Force
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Energy Transformation
Energy Transformation
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Watt (W)
Watt (W)
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Elastic Definition
Elastic Definition
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Inelastic Definition
Inelastic Definition
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Perfectly Inelastic Equation
Perfectly Inelastic Equation
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Girl-Raft Velocity
Girl-Raft Velocity
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Carts' Final Speed
Carts' Final Speed
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Inelasticity
Inelasticity
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Applied Impulse
Applied Impulse
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Impulse (Collision)
Impulse (Collision)
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Finding Force from Work
Finding Force from Work
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Mechanical Energy Definition
Mechanical Energy Definition
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Solving for Force
Solving for Force
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Kinetic Energy Explained
Kinetic Energy Explained
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Conserved Mechanical Energy
Conserved Mechanical Energy
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Spring Constant Definition
Spring Constant Definition
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Change in Momentum Equation
Change in Momentum Equation
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Impulse Definition (Collision)
Impulse Definition (Collision)
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Inelastic Collision Definition
Inelastic Collision Definition
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Define Momentum
Define Momentum
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Impulse Measures
Impulse Measures
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What causes a change in momentum?
What causes a change in momentum?
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Study Notes
- Work is done on an object when energy is transferred.
- Work is done when a force acts on something undergoing displacement.
- Work formula: W = F x s x cosθ, where F is force, s is displacement, and θ is the angle between the force and the direction of motion.
- Examples of work include change in position/displacement, change in speed/direction, and change in shape/size.
- When the angle is 0°, work is at its max value, with cos(0°) = 1.
- If the angle is 90°, no work is done.
- Work is negative when the angle is between 90° and 180°, signifying the force acts opposite to motion.
- Energy is the ability to do work, or exert a force causing displacement.
- Energy is expressed in joules or ergs.
- Energy is a scalar property.
- Mechanical energy is the sum of kinetic and potential energy in an object.
Kinetic Energy
- Kinetic energy is associated with moving particles and systems.
- KE formula: KE = ½ mv²
- The unit for Kinetic Energy is Joules.
Potential Energy
- Potential energy is work done by a force (like gravity or a spring) when relative particle positions change within a system.
- Elastic Potential Energy formula: EPE = ½ kx²
- Gravitational Potential Energy formula: GPE = mgh
- The unit for Potential Energy is Joules.
Conservation of Mechanical Energy
- Energy can change form, but the total amount remains constant.
- Energy cannot be created or destroyed.
- Formula for Conservation of Mechanical Energy is MEi = MEf, or PEi + KEi = PEf + KEf (in the absence of friction)
- Expanded Formula for Conservation of Mechanical Energy is mgh₁ + ½ mv₁² = mghf + ½ mvf²
Power
- Power is the rate of doing work
- Power = Work / Time or Power = (Force * Displacement) / Time
- Power = Force * Velocity
- Common units of power include Watts, Horsepower, BTU/hr, Cal/s, and Ft-lb/s
Linear Momentum
- Momentum is the object's mass and velocity product, with the SI unit of kg m/s.
- Momentum is a vector quantity.
- Momentum formula: Momentum = mass x velocity
- A stationary object's momentum is zero because its velocity is zero.
Type of Collision
- Perfectly inelastic collisions mean objects stick together
- Inelastic collisions means collisions are somewhat bouncy
- Elastic collisions means collisions are "perfectly” bouncy
- In elastic collisions, there is no permanent deformations of objects or loss of kinetic energy - momentum is conserved
- In inelastic collisions, there are permanent deformations of objects but momentum is conserved
- In Perfectly Inelastic collisions, permanent deformation occurs and objects lock together moving as a single unit, momentum is conserved
Impulse
- Impulse is the amount of change in an object's momentum.
- Impulse is the product of the force applied to an object and the amount of time applied
- Impulse equation Formulas: ∆p = pf - pi or ∆p = mvf - mvi, and ∆p = F∆t
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Description
Explore the basics of work, energy, potential and kinetic energy, and momentum. Learn about work-energy theorem and mechanical energy. Understand the standard units and formulas for calculating these concepts.
