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Questions and Answers
What factor determines the net force acting on the system of masses in an Atwood's Machine?
What factor determines the net force acting on the system of masses in an Atwood's Machine?
- The product of the weights of the two hanging masses
- The difference in weight between the two hanging masses (correct)
- The sum of the weights of the two hanging masses
- The average weight of the two hanging masses
In an Atwood's machine with unequal masses, the heavier mass accelerates upward, while the lighter mass accelerates downward.
In an Atwood's machine with unequal masses, the heavier mass accelerates upward, while the lighter mass accelerates downward.
False (B)
What is the standard value of acceleration due to gravity on Earth, expressed in meters per second squared?
What is the standard value of acceleration due to gravity on Earth, expressed in meters per second squared?
9.81 m/s^2
In free fall, in the absence of air resistance, the speed of a ball thrown from a cliff increases by approximately ______ m/s every second.
In free fall, in the absence of air resistance, the speed of a ball thrown from a cliff increases by approximately ______ m/s every second.
Match the following scenarios with the appropriate type of motion under gravity:
Match the following scenarios with the appropriate type of motion under gravity:
According to Newton's Second Law, what is the relationship between the net force (\Sigma F), mass (m), and acceleration (a) of an object?
According to Newton's Second Law, what is the relationship between the net force (\Sigma F), mass (m), and acceleration (a) of an object?
In an Atwood's Machine, the tension in the string is always equal to the weight of the heavier mass.
In an Atwood's Machine, the tension in the string is always equal to the weight of the heavier mass.
In an Atwood's Machine, what is assumed about the pulley and string for simplified calculations?
In an Atwood's Machine, what is assumed about the pulley and string for simplified calculations?
In a sample problem involving an Atwood's Machine, if mass 1 is 10 kg and mass 2 is 5 kg, the acceleration is assumed to be ______ if it's counterclockwise
In a sample problem involving an Atwood's Machine, if mass 1 is 10 kg and mass 2 is 5 kg, the acceleration is assumed to be ______ if it's counterclockwise
Match the following components of force analysis for an Atwood's Machine:
Match the following components of force analysis for an Atwood's Machine:
In the free body diagram of mass m_1 in an Atwood's machine (assuming m_1 > m_2), which of the following is correct?
In the free body diagram of mass m_1 in an Atwood's machine (assuming m_1 > m_2), which of the following is correct?
In an Atwood's Machine, if the two masses are equal, the acceleration of the system is non-zero.
In an Atwood's Machine, if the two masses are equal, the acceleration of the system is non-zero.
In an Atwood's Machine, how should the masses be related such that there is no acceleration?
In an Atwood's Machine, how should the masses be related such that there is no acceleration?
If the acceleration (a) of a system in Atwood's machine is negative, it indicates that m_1 is ______ than m_2.
If the acceleration (a) of a system in Atwood's machine is negative, it indicates that m_1 is ______ than m_2.
Relate the mathematical expressions with the physical terms
Relate the mathematical expressions with the physical terms
In lab measurements of an Atwood machine, what does the slope of the speed versus time graph represent?
In lab measurements of an Atwood machine, what does the slope of the speed versus time graph represent?
Inclined planes are used to move loads only from high to low places, not the other way around.
Inclined planes are used to move loads only from high to low places, not the other way around.
Name the forces acting on a package moving down an incline?
Name the forces acting on a package moving down an incline?
The normal force on an object lying on an inclined plane with no friction is ______ to the plane's surface.
The normal force on an object lying on an inclined plane with no friction is ______ to the plane's surface.
Match the force components with their corresponding description on an inclined plane with no friction
Match the force components with their corresponding description on an inclined plane with no friction
What is the net acceleration of an object on an inclined plane (angle θ) with friction (coefficient μ)?
What is the net acceleration of an object on an inclined plane (angle θ) with friction (coefficient μ)?
The force that must be applied by the brakes to keep a car from moving on an inclined hill is equal to the car's normal force.
The force that must be applied by the brakes to keep a car from moving on an inclined hill is equal to the car's normal force.
If the mass of car is m, hill inclination is θ, what is the expression for force applied by brake to stop it from moving?
If the mass of car is m, hill inclination is θ, what is the expression for force applied by brake to stop it from moving?
The gravitational force on a 50 kg box on a frictionless inclined plane is directly proportional to its ______.
The gravitational force on a 50 kg box on a frictionless inclined plane is directly proportional to its ______.
A mass m is placed on a frictionless inclined plane. Match the forces to its expression
A mass m is placed on a frictionless inclined plane. Match the forces to its expression
A car is parked on a hill with a 20° slope. If the car's mass is 1000 kg, what is the component of the gravitational force acting parallel to the hill's surface?
A car is parked on a hill with a 20° slope. If the car's mass is 1000 kg, what is the component of the gravitational force acting parallel to the hill's surface?
An inclined lane dynamics track can be used to determine acceleration of different masses
An inclined lane dynamics track can be used to determine acceleration of different masses
What equipment can be used to find the acceleration of the cart running down the track in the experiments?
What equipment can be used to find the acceleration of the cart running down the track in the experiments?
In the cart experiment, for each angle, you will measure the ______ at 2 different points on the track and from there determine the acceleration.
In the cart experiment, for each angle, you will measure the ______ at 2 different points on the track and from there determine the acceleration.
Match each variable to the correct physics quantity in the following equation for finding acceleration: v_2^2 = v_1^2 - 2 a Δx
Match each variable to the correct physics quantity in the following equation for finding acceleration: v_2^2 = v_1^2 - 2 a Δx
What property does inclined plane change?
What property does inclined plane change?
Acceleration is variable for the object moving on the inclined plane.
Acceleration is variable for the object moving on the inclined plane.
If an object mass is m on an inclined plane which one is affected by gravity? All mass or some part of it?
If an object mass is m on an inclined plane which one is affected by gravity? All mass or some part of it?
On an inclined plane mass (m) object has force equations as F_N = F_g and mass is constant motion, on the other hand if it is moving then force equation becomes F_{net} = ma = ______
On an inclined plane mass (m) object has force equations as F_N = F_g and mass is constant motion, on the other hand if it is moving then force equation becomes F_{net} = ma = ______
Match each variable with their value on inclined hill with 20° slope, car Weight 1,000 kg
Match each variable with their value on inclined hill with 20° slope, car Weight 1,000 kg
The acceleration due to gravity is also called
The acceleration due to gravity is also called
Objects thrown upward or downward and those released from rest are all examples of free fall.
Objects thrown upward or downward and those released from rest are all examples of free fall.
The standard equations of a uniformly accelerated body are applicable for _______
The standard equations of a uniformly accelerated body are applicable for _______
Objects in free fall experience constant _______
Objects in free fall experience constant _______
Match the following concepts:
Match the following concepts:
Flashcards
Atwood's Machine
Atwood's Machine
A machine consisting of two objects of unequal mass suspended vertically by a string over a light frictionless pulley.
Acceleration due to Gravity
Acceleration due to Gravity
The acceleration experienced by an object due to the gravitational force exerted by a massive body.
g = 9.81 m/s²
g = 9.81 m/s²
The standard value of acceleration due to gravity on Earth.
Free fall
Free fall
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Newton's Second Law
Newton's Second Law
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Atwood's Machine: Net Force
Atwood's Machine: Net Force
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Motion on an Inclined Plane
Motion on an Inclined Plane
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Fnet
Fnet
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Normal Force
Normal Force
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Weight Component (Parallel)
Weight Component (Parallel)
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Acceleration with Friction
Acceleration with Friction
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Force of Friction
Force of Friction
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gravatational force?
gravatational force?
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Study Notes
Atwood's Machine
- Atwood's Machine features two objects with different masses
- The objects are hung vertically using a string over a light frictionless pulley
- The system accelerates if one mass is greater
- Elevators, garage doors, and wells are real world applications
Net Force
- An Atwood's Machine net force depends on the weight difference of the hanging masses
- Gravity causes acceleration, with the heavier mass accelerating downward and the lighter mass upward
Acceleration due to Gravity
- Acceleration due to gravity is the acceleration an object experiences from a massive body's gravitational pull such as Earth
- The standard value of gravity on Earth is 9.81 m/s²
Free Fall
- In the absence of air resistance, objects in free fall near Earth accelerate at 9.81 meters per second squared
- If throwing a ball off a cliff, its speed increases by 9.8 m/s every second unless there is air resistance
- Gravity causes the change in speed
- Free fall doesn't only mean moving downwards, but objects release from rest or thrown upward/downward too
- Uniformly accelerated body equations apply to free fall
Atwood's Machine Equations
- This assumes a pulley with no mass, a non-stretchable string, and no friction
- T - m₁g = Fnet (on mass m₁) = m₁a
- m₂g - T = Fnet (on mass m₂) = m₂a
- The acceleration can be expressed as a = ((M₂ - M₁) / (M₂ + M₁)) * g
Sample Problem
- In a sample problem, positive acceleration is assumed to be counterclockwise
- Acceleration of the two masses remains the same
- The value of a = (m_1 - m_2) / (m_1 + m_2) * g
- If mass 1 is 10.0kg and mass 2 is 5.0 kg then a = 3.27m/s²
Sample Problem Force Analysis
- Net force equals mass times acceleration and is also the gravitational force less tension
- Consider the 10.0 kg weight with a gravitational force of 98.0 N
- Net force equals 32.7 N, with the tension force calculated as 65.3 N
Motion Experiment
- Experimentally, measure masses' motion on an Atwood Machine
- Capstone is used to compute speed
- Acceleration is the slope of the speed versus time on a graph
Motion on an Inclined Plane
- This is the movement of an object on a surface tilted at an angle, θ, relative to the horizontal
- Inclined planes are work-saving devices used to move loads between different heights
Forces on Inclined Plane
- Gravity acts directly downwards
- The normal force is surface force and is perpendicular to surface of the plane
- If there is no friction, these two forces are normally all that are acting on the object
Friction
- With no friction:
- Fn = Fg
- F_N = mg cos θ
- Fnet = ma = mg sin θ
- If friction is added ( f = μN, f = μmg cos θ)
- Net acceleration becomes: a = g(sin θ – μ cos θ)
- mu = the coefficient of friction.
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