A 0.20-kg particle moves along the x axis under the influence of a conservative force.The potential energy is given by U(x)= (8.0 J/m2)x2 + (2.0 J/m4)x4, Where x is in coordinate of the particle.If the particle has a speed of 5.0 m/s when it is at x = 1.0 m, its speed when it is at the origin is:

A) 0 m/s B) 2.5 m/s C) 5.7 m/s D) 7.9 m/s E) 11 m/s A) 0 m/s B) 2.5 m/s C) 5.7 m/s D) 7.9 m/s E) 11 m/s

The energy of a system increases at a rate of 3.5 t + 6.2 t2, in joules.What is the instantaneous power at t = 3.1 s?

A) 3.5 W B) 6.2 W C) 16 W D) 42 W E) 70 W A) 3.5 W B) 6.2 W C) 16 W D) 42 W E) 70 W

Exam 8: Potential Energy and Conservation of Energy

A small object slides along the frictionless loop-the-loop with a diameter of 3 m.What minimum speed must it have at the top of the loop in order to remain in contact with the loop?

(Multiple Choice)

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Question 21

Which one of the following five quantities CANNOT be used as a unit of potential energy?

(Multiple Choice)

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Question 22

A 0.20-kg particle moves along the x axis under the influence of a conservative force.The potential energy is given by U(x)= (8.0 J/m²)x² + (2.0 J/m⁴)x⁴, Where x is in coordinate of the particle.If the particle has a speed of 5.0 m/s when it is at x = 1.0 m, its speed when it is at the origin is:

(Multiple Choice)

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Question 23

As a particle moves along the x axis it is acted by a conservative force.The potential energy is shown below as a function of the coordinate x of the particle.Rank the labeled regions according to the magnitude of the force, least to greatest.

(Multiple Choice)

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Question 24

A toy cork gun contains a spring whose spring constant is 10.0 N/m.The spring is compressed 5.00 cm and then used to propel a 6.00-g cork.The cork, however, sticks to the spring for 1.00 cm beyond its unstretched length before separation occurs.The muzzle velocity of this cork is:

(Multiple Choice)

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Question 25

A projectile of mass 0.50 kg is fired with an initial speed of 10 m/s at an angle of 60° above the horizontal.The potential energy of the projectile-Earth system when the projectile is at its highest point (relative to the potential energy when the projectile is at ground level)is:

(Multiple Choice)

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Question 26

A simple pendulum consists of a 2.0 kg mass attached to a string.It is released from rest at X as shown.Its speed at the lowest point Y is:

(Multiple Choice)

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Question 27

A block of mass m is initially moving to the right on a horizontal frictionless surface at a speed v.It then compresses a spring of spring constant k.At the instant when the kinetic energy of the block is equal to the potential energy of the spring, the spring is compressed a distance of:

(Multiple Choice)

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Question 28

A particle is released from rest at the point x = a and moves along the x axis subject to the potential energy function U(x)shown.The particle:

(Multiple Choice)

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Question 29

The first graph shows the potential energy U(x)for a particle moving on the x axis.Which of the following five graphs correctly gives the force F exerted on the particle?

(Multiple Choice)

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Question 30

Given a potential energy function U(x), the corresponding force is in the positive x direction if:

(Multiple Choice)

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Question 31

A 5-kg projectile is fired over level ground with a velocity of 200 m/s at an angle of 25°above the horizontal.Just before it hits the ground its speed is 150 m/s.Over the entire trip the change in the thermal energy of the projectile and air is:

(Multiple Choice)

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Question 32

The string in the figure is 50 cm long.When the ball is released from rest, it swings along the dotted arc.How fast is it going at the lowest point in its swing?

(Multiple Choice)

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Question 33

A particle moves along the x axis under the influence of a stationary object.The net force on the particle, which is conservative, is given by F = (8N/m³)x³.If the potential energy is taken to be zero for x = 0 then the potential energy is given by:

(Multiple Choice)

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Question 34

Two particles interact by conservative forces.In addition, an external force acts on each particle.They complete round trips, ending at the points where they started.Which of the following must have the same values at the beginning and end of this trip?

(Multiple Choice)

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Question 35

An elevator is rising at constant speed.Consider the following statements: I.the upward cable force is constant II.the kinetic energy of the elevator is constant III.the gravitational potential energy of the Earth-elevator system is constant IV.the acceleration of the elevator is zero V.the mechanical energy of the Earth-elevator system is constant

(Multiple Choice)

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Question 36

The diagram shows a plot of the potential energy as a function of x for a particle moving along the x axis.The points of stable equilibrium are:

(Multiple Choice)

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Question 37

The energy of a system increases at a rate of 3.5 t + 6.2 t², in joules.What is the instantaneous power at t = 3.1 s?

(Multiple Choice)

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Question 38

Objects A and B interact with each other via both conservative and nonconservative forces.Let K_A and K_B be the kinetic energies, U be the potential energy, and E_int be the internal energy.If no external agent does work on the objects then:

(Multiple Choice)

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Question 39

Only if a force on a particle is conservative:

(Multiple Choice)

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Question 40

Showing 21 - 40 of 65

Exam 8: Potential Energy and Conservation of Energy

A small object slides along the frictionless loop-the-loop with a diameter of 3 m.What minimum speed must it have at the top of the loop in order to remain in contact with the loop?

Which one of the following five quantities CANNOT be used as a unit of potential energy?

A 0.20-kg particle moves along the x axis under the influence of a conservative force.The potential energy is given by U(x)= (8.0 J/m2)x2 + (2.0 J/m4)x4, Where x is in coordinate of the particle.If the particle has a speed of 5.0 m/s when it is at x = 1.0 m, its speed when it is at the origin is:

As a particle moves along the x axis it is acted by a conservative force.The potential energy is shown below as a function of the coordinate x of the particle.Rank the labeled regions according to the magnitude of the force, least to greatest.

A toy cork gun contains a spring whose spring constant is 10.0 N/m.The spring is compressed 5.00 cm and then used to propel a 6.00-g cork.The cork, however, sticks to the spring for 1.00 cm beyond its unstretched length before separation occurs.The muzzle velocity of this cork is:

A projectile of mass 0.50 kg is fired with an initial speed of 10 m/s at an angle of 60° above the horizontal.The potential energy of the projectile-Earth system when the projectile is at its highest point (relative to the potential energy when the projectile is at ground level)is:

A simple pendulum consists of a 2.0 kg mass attached to a string.It is released from rest at X as shown.Its speed at the lowest point Y is:

A block of mass m is initially moving to the right on a horizontal frictionless surface at a speed v.It then compresses a spring of spring constant k.At the instant when the kinetic energy of the block is equal to the potential energy of the spring, the spring is compressed a distance of:

A particle is released from rest at the point x = a and moves along the x axis subject to the potential energy function U(x)shown.The particle:

The first graph shows the potential energy U(x)for a particle moving on the x axis.Which of the following five graphs correctly gives the force F exerted on the particle?

Given a potential energy function U(x), the corresponding force is in the positive x direction if:

A 5-kg projectile is fired over level ground with a velocity of 200 m/s at an angle of 25°above the horizontal.Just before it hits the ground its speed is 150 m/s.Over the entire trip the change in the thermal energy of the projectile and air is:

The string in the figure is 50 cm long.When the ball is released from rest, it swings along the dotted arc.How fast is it going at the lowest point in its swing?

A particle moves along the x axis under the influence of a stationary object.The net force on the particle, which is conservative, is given by F = (8N/m3)x3.If the potential energy is taken to be zero for x = 0 then the potential energy is given by:

Two particles interact by conservative forces.In addition, an external force acts on each particle.They complete round trips, ending at the points where they started.Which of the following must have the same values at the beginning and end of this trip?

The diagram shows a plot of the potential energy as a function of x for a particle moving along the x axis.The points of stable equilibrium are:

The energy of a system increases at a rate of 3.5 t + 6.2 t2, in joules.What is the instantaneous power at t = 3.1 s?

Objects A and B interact with each other via both conservative and nonconservative forces.Let KA and KB be the kinetic energies, U be the potential energy, and Eint be the internal energy.If no external agent does work on the objects then:

Only if a force on a particle is conservative:

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A particle moves along the x axis under the influence of a stationary object.The net force on the particle, which is conservative, is given by F = (8N/m³)x³.If the potential energy is taken to be zero for x = 0 then the potential energy is given by:

The energy of a system increases at a rate of 3.5 t + 6.2 t², in joules.What is the instantaneous power at t = 3.1 s?

Objects A and B interact with each other via both conservative and nonconservative forces.Let K_A and K_B be the kinetic energies, U be the potential energy, and E_int be the internal energy.If no external agent does work on the objects then: