Physics Equations Quiz

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Questions and Answers

What is primarily required when using the formula for solving one axis?

  • All variables from both axes
  • One variable from both axes
  • Most of the variables in that axis (correct)
  • Only the dependent variable

Which formula correctly expresses the relationship of force in a gravitational field?

  • Ff = µFn
  • Fnet = ma
  • Fnet = Fa + Ff
  • Fg = mg (correct)

What does the formula ∆x = vi∆t + ½ a∆t² calculate?

  • The net force
  • Distance traveled (correct)
  • The coefficient of friction
  • Final velocity

In the formula Fnet = Fa - Ff, what does Ff represent?

<p>Frictional force (D)</p> Signup and view all the answers

What happens to two objects thrown off a building at different horizontal velocities?

<p>They will hit the ground at the same time. (D)</p> Signup and view all the answers

What condition must be met to find the net force (Fnet) using the formula Fnet = ma?

<p>Both mass and acceleration must be known (A)</p> Signup and view all the answers

Which of the following best defines a field force?

<p>A force acting at a distance without physical contact. (D)</p> Signup and view all the answers

What distinguishes static friction from kinetic friction?

<p>Static friction acts to prevent movement, while kinetic friction acts during movement. (D)</p> Signup and view all the answers

When calculating the force of friction using Ff = µFn, what does µ represent?

<p>Coefficient of friction (D)</p> Signup and view all the answers

What does the term 'net force' encompass in physical equations?

<p>The overall force after all forces have been summed (A)</p> Signup and view all the answers

What is the gravitational force formula, and what does 'g' represent?

<p>Fg = mg, where g is the gravitational acceleration in m/s². (C)</p> Signup and view all the answers

Which statement about tension force is accurate?

<p>Tension force acts through a cable or rope and can only pull. (B)</p> Signup and view all the answers

What is the gravitational force used for in kinetic energy calculations?

<p>To evaluate the energy imparted to an object (D)</p> Signup and view all the answers

What does 'g' represent in formulas related to kinetic and potential energy?

<p>The acceleration due to gravity (A)</p> Signup and view all the answers

In the context of elastic potential energy, what does 'x' signify?

<p>The distance from the equilibrium position (A)</p> Signup and view all the answers

What does the spring constant 'k' indicate in relation to springs?

<p>The stiffness of the spring (D)</p> Signup and view all the answers

Which of the following formulas is used to find momentum?

<p>p = mv (D)</p> Signup and view all the answers

What does '∆h' represent in gravitational potential energy?

<p>The change in height above a reference point (C)</p> Signup and view all the answers

Which of these equations represents the calculation of work (W)?

<p>W = Fd (A)</p> Signup and view all the answers

What does the formula ∆E = final energy minus initial energy signify?

<p>The change in energy of a system (D)</p> Signup and view all the answers

Which variable represents the separation between two objects in gravitational calculations?

<p>d (D)</p> Signup and view all the answers

What does a negative value for work indicate in a mechanical system?

<p>Energy was lost from the system (C)</p> Signup and view all the answers

What is the correct unit for measuring power?

<p>Watt (C)</p> Signup and view all the answers

How can the work done on the cart be calculated at the bottom of the ramp?

<p>Using the formula KE - PEg (B)</p> Signup and view all the answers

What type of energy does an object have when it is released from rest at a certain height?

<p>Only potential energy (B)</p> Signup and view all the answers

If a crane lifts a load of materials performing 250,000 Joules of work in 120 seconds, what is the power output?

<p>2,083 Watts (B)</p> Signup and view all the answers

What happens to kinetic energy when an object comes to a complete stop?

<p>It is converted to thermal energy (B)</p> Signup and view all the answers

In a two-dimensional motion scenario, what does the gravitational acceleration affect primarily?

<p>Vertical velocity (C)</p> Signup and view all the answers

What is the total mechanical energy (ME) when an object is at rest on the ground?

<p>Only potential energy (A)</p> Signup and view all the answers

What does the formula W = f × d represent?

<p>Work done on an object (C)</p> Signup and view all the answers

Which of the following is NOT a component of mechanical energy?

<p>Thermal energy (TE) (C)</p> Signup and view all the answers

What is the main difference between momentum and kinetic energy in collisions?

<p>Momentum is conserved in all collisions, while kinetic energy is not. (A)</p> Signup and view all the answers

What signifies an inelastic collision?

<p>Objects stick together after the collision. (A), The total momentum remains the same before and after. (D)</p> Signup and view all the answers

What formula represents impulse?

<p>J = F∆t = ∆p (C)</p> Signup and view all the answers

In the context of explosions, what change occurs to momentum?

<p>Momentum is conserved, split between multiple objects. (B)</p> Signup and view all the answers

What does the notation P(before) = P(after) imply?

<p>Momentum before is equal to momentum after. (C)</p> Signup and view all the answers

How can a player minimize the force of a thrown object when catching it?

<p>By increasing the time for catching by moving arms toward the body. (B)</p> Signup and view all the answers

In a perfectly elastic collision, which of the following is true?

<p>Both momentum and kinetic energy are conserved. (D)</p> Signup and view all the answers

What is the unit of impulse?

<p>Newton-seconds (B)</p> Signup and view all the answers

If two objects collide and stick together, what can be concluded?

<p>The collision is inelastic. (C)</p> Signup and view all the answers

Flashcards

∆x = vi∆t + ½ a∆t2

The formula is used to calculate the distance traveled by an object in a given time, where 'vi' is initial velocity, 'a' is acceleration, and 't' is time.

Fg = mg

This formula calculates the force of gravity acting on an object, where 'm' is the mass of the object and 'g' is the acceleration due to gravity.

Ff = µFn

Fn is the force of friction, μ is the coefficient of friction, and Fn is the normal force. It's used to calculate the frictional force.

Fnet = Fa - Ff

The formula is used to calculate the net force acting on an object, where 'Fa' is the applied force and 'Ff' is the force of friction.

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Fnet = ma

This formula is used to calculate the net force acting on an object, where 'm' is the mass of the object and 'a' is its acceleration.

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Kinetic Energy (KE)

Kinetic Energy is the energy an object possesses due to its motion. It depends on the object's mass and its speed.

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Kinetic Energy Formula

The formula to calculate Kinetic Energy is KE = 1/2 * mass * velocity^2

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Gravitational Potential Energy (PEg)

Gravitational Potential Energy (PEg) is the energy stored in an object due to its position in a gravitational field. It's dependent on the object's mass, the acceleration due to gravity, and its height above a reference point.

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Gravitational Potential Energy Formula

The formula to calculate Gravitational Potential Energy is PEg = mass * acceleration due to gravity * height

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Elastic Potential Energy (PEs)

Elastic Potential Energy (PEs) is the energy stored in a stretched or compressed elastic object, like a spring. It depends on the spring constant and the amount of deformation.

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Elastic Potential Energy Formula

The formula to calculate Elastic Potential Energy is PEs = 1/2 * spring constant * deformation^2

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Work (W)

Work (W) is the energy transferred when a force causes an object to move a certain distance. It's measured in Joules (J).

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Power (P)

Power (P) is the rate at which work is done. It's the amount of energy transferred per unit time. Measured in Watts (W).

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Momentum (p)

Momentum (p) is the product of an object's mass and its velocity. It measures the object's inertia in motion.

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Momentum Conservation

The total momentum of a system remains constant if no external forces act on it.

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Inelastic Collision

A collision where kinetic energy is not conserved. This often occurs when objects stick together after impact.

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Elastic Collision

A collision where both momentum and kinetic energy are conserved. Objects bounce off each other.

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Impulse

The change in momentum of an object over a period of time. It's the force applied over the time of contact.

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Impulse Formula

The formula used to calculate the impulse of an object. It relates the force applied to the change in momentum.

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Average Force

The average force exerted over a period of time, measured in Newtons (N).

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Explosion

A process where a single object breaks into multiple objects. Momentum is conserved, but kinetic energy is usually not.

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Momentum

The product of an object's mass and its velocity, representing the amount of motion.

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Inelastic Collision Formula

The equation used to calculate the final velocity after an inelastic collision between two objects. It shows that the momentum of the system is conserved.

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Kinetic Energy

The amount of energy an object possesses due to its motion.

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Work

The amount of energy transferred when a force moves an object over a distance.

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Power

The rate at which work is done, measured in Watts.

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Potential Energy (PE)

A type of energy associated with the position of an object relative to a reference point.

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Mechanical Energy (ME)

The sum of potential and kinetic energies of an object.

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Acceleration due to Gravity (g)

The acceleration due to gravity near the surface of the Earth, approximately -9.8 m/s².

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2D Motion

Motion involving both horizontal (x) and vertical (y) components.

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Free Fall

Free fall is when an object is only influenced by gravity.

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Work-Energy Theorem

The change in mechanical energy is equal to the work done on an object.

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Force

A push or pull on an object that can cause it to accelerate or change direction.

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Contact Force vs. Field Force

Contact forces require direct physical contact between objects, while field forces act over a distance.

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Normal Force

A force that acts perpendicular to the surface, preventing an object from falling through it.

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Friction Force

A force that opposes motion between two surfaces in contact. It can be static (when objects are at rest) or kinetic (when objects are sliding).

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Weight

The force of gravity acting on an object's mass. It is always directed towards the center of the Earth.

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Study Notes

Equations

  • s = d/t: Solving for speed, where s = speed, d = distance, and t = time.
  • v = Δx/Δt: Solving for velocity, where v = velocity, Δx = change in position, and Δt = change in time.
  • a = Δv/Δt: Solving for acceleration, where a = acceleration, Δv = change in velocity, and Δt = change in time.
  • vf = vi + at: Solving for final velocity, where vf = final velocity, vi = initial velocity, a = acceleration, and t = time.
  • vf² = vi² + 2ad: Solving for final velocity, where vf = final velocity, vi = initial velocity, a = acceleration, and d = displacement.
  • d = vit + 1/2 at²: Solving for distance, where d = distance, vi = initial velocity, a = acceleration, and t = time.
  • F = mg: Solving for the force of gravity, where F = force, m = mass, and g = acceleration due to gravity (approximately 10 N/kg).
  • Fnet = Fa - Ff: Solving for net force, where Fnet = net force, Fa = applied force, and Ff = frictional force.
  • Fnet = ma: Solving for net force, where Fnet = net force, m = mass, and a = acceleration.
  • Ff = µFn: Solving for frictional force, where Ff = frictional force, µ = coefficient of friction, and Fn = normal force.
  • F = Gmm²/r²: Solving for gravitational force, where F = gravitational force, G = gravitational constant, m₁ and m₂ = masses of objects, and r = distance between the objects.
  • PEg = mgh: Solving for gravitational potential energy, where PEg = gravitational potential energy, m = mass, g = acceleration due to gravity, and h = height.
  • ΔPEe = 1/2 kΔx²: Solving for elastic potential energy, where ΔPEe = elastic potential energy, k = spring constant, and Δx = change in length.
  • KE = 1/2 mv²: Solving for kinetic energy, where KE = kinetic energy, m = mass, and v = velocity.
  • ME = PEg + PEs + KE: Solving for mechanical energy, where ME = mechanical energy, PEg = gravitational potential energy, PEs = elastic potential energy, and KE = kinetic energy.
  • W = ΔE = Fd: Solving for work, where W = work, ΔE = change in energy, F = force, and d = distance.
  • P = W/t: Solving for power, where P = power, W = work, and t = time.
  • p = mv: Solving for momentum, where p = momentum, m = mass, and v = velocity.
  • Ap = FΔt: Solving for impulse, where Ap = change in momentum, F = average force, and Δt = change in time.

Unit 5 - Momentum

  • Momentum is the measure of an object's motion and is related to its mass and velocity.
  • Momentum is a vector quantity. Momentum has a direction.
  • Momentum is conserved in all collisions, elastic and inelastic.
  • In an elastic collision, both momentum and kinetic energy are conserved before and after.
  • In an inelastic collision, momentum is conserved, but kinetic energy is not.

Unit 4 - Energy

  • Energy is the ability to do work or cause change.
  • There are many different forms of energy: chemical, mechanical, nuclear, gravitational, light, radiant, sound, thermal, and electrical.
  • Mechanical energy is the sum of potential and kinetic energy.
  • Gravitational potential energy is stored energy due to an object's height.
  • Elastic potential energy is stored energy in a stretched or compressed object.
  • Kinetic energy is the energy of motion.
  • Work is the transfer or change of energy, measured in joules.
  • Power is the rate at which work is done, measured in watts.

Unit 3 - 2D Motion and Free Fall

  • In two-dimensional motion, objects move along both the x and y axes simultaneously.
  • In free fall, objects experience constant acceleration due to gravity (approximately 9.8 m/s² downwards).
  • The motion of an object in two dimensions can be analyzed by separating the motion into horizontal and vertical components.
  • The velocity components along the x and y axes may change independently.

Unit 2 - Forces

  • Force is a push or pull, with magnitude, and direction.
  • There are different types of forces: Contact forces (e.g., applied, tension, normal, friction) and Field forces (e.g., gravitational, electric, magnetic).
  • Force diagrams (free-body diagrams) illustrate all forces acting on an object.
  • Equilibrium occurs when the net force on an object is zero.

Unit 1 - Conversions and Kinematics

  • Understanding unit conversion is important.
  • Distance is a scalar quantity, and displacement is a vector quantity.
  • Velocity is a vector quantity (direction and magnitude) and speed is a scalar quantity.
  • Acceleration is a vector quantity (direction and magnitude).

Universal Law of Gravitation

  • Every object in the universe attracts every other object with a gravitational force.
  • The force is proportional to the product of the masses of the two objects and is inversely proportional to the square of the distance between them.

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