The potential energy of a 0.20-kg particle moving along the x axis is given by U(x)= (8.0 J/m2)x2 − (2.0 J/m4)x4.When the particle is at x = 1.0 m the magnitude of its acceleration is:

A) 0 m/s2 B) -8 m/s2 C) 8 m/s2 D) -40 m/s2 E) 40 m/s2 A) 0 m/s2 B) -8 m/s2 C) 8 m/s2 D) -40 m/s2 E) 40 m/s2

The graphs below show the magnitude of the force on a particle as the particle moves along the positive x axis from the origin to x = x1.The force is parallel to the x axis and is conservative.The maximum magnitude F1 has the same value for all graphs.Rank the situations according to the change in the potential energy associated with the force, least (or most negative)to greatest (or most positive).

A) 3, 1, 2 B) 1, 3, 2 C) 2, 3, 1 D) 3, 2, 1 E) 2, 1, 3 A) 3, 1, 2 B) 1, 3, 2 C) 2, 3, 1 D) 3, 2, 1 E) 2, 1, 3

Exam 8: Potential Energy and Conservation of Energy

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A ball is held at a height H above a floor.It is then released and falls to the floor.If air resistance can be ignored, which of the five graphs below correctly gives the mechanical energy E of the Earth-ball system as a function of the altitude y of the ball?

(Multiple Choice)

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Question 41

The potential energy of a 0.20-kg particle moving along the x axis is given by U(x)= (8.0 J/m²)x²− (2.0 J/m⁴)x⁴.When the particle is at x = 1.0 m the magnitude of its acceleration is:

(Multiple Choice)

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Question 42

The graphs below show the magnitude of the force on a particle as the particle moves along the positive x axis from the origin to x = x₁.The force is parallel to the x axis and is conservative.The maximum magnitude F₁ has the same value for all graphs.Rank the situations according to the change in the potential energy associated with the force, least (or most negative)to greatest (or most positive).

(Multiple Choice)

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Question 43

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 unstable equilibrium are:

(Multiple Choice)

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Question 44

A 2-kg block is thrown upward from a point 20 m above the Earth's surface.At what height above Earth's surface will the gravitational potential energy of the Earth-block system have increased by 500 J?

(Multiple Choice)

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Question 45

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 neutral equilibrium are:

(Multiple Choice)

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Question 46

A 6.0-kg block is released from rest 80 m above the ground.When it has fallen 60 m its kinetic energy is approximately:

(Multiple Choice)

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Question 47

A small object of mass m, on the end of a light cord, is held horizontally at a distance r from a fixed support as shown.The object is then released.What is the tension in the cord when the object is at the lowest point of its swing?

(Multiple Choice)

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Question 48

No kinetic energy is possessed by:

(Multiple Choice)

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Question 49

A 0.50-kg block attached to an ideal spring with a spring constant of 80 N/m oscillates on a horizontal frictionless surface.The total mechanical energy is 0.12 J.The greatest extension of the spring from its equilibrium length is:

(Multiple Choice)

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Question 50

A stationary mass m = 1.3 kg is hanging from a spring of spring constant k = 1200 N/m.You raise the mass a distance of 10 cm above its equilibrium position.How much has the potential energy of the mass-spring system changed?

(Multiple Choice)

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Question 51

The sum of the kinetic and potential energies of a system of objects is conserved:

(Multiple Choice)

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Question 52

The thermal energy of a system consisting of a thrown ball, Earth, and the air is most closely associated with:

(Multiple Choice)

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Question 53

A stationary mass m = 1.3 kg is hanging from a spring of spring constant k = 1200 N/m.You raise the mass a distance of 10 cm above its equilibrium position in a time of 1.4 s.What was the average power expended?

(Multiple Choice)

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Question 54

A block slides across a rough horizontal table top.The work done by friction changes:

(Multiple Choice)

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Question 55

A 700-N man jumps out of a window into a fire net 10 m below.The net stretches 2 m before bringing the man to rest and tossing him back into the air.The maximum potential energy of the net, compared to its unstretched potential energy, is:

(Multiple Choice)

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Question 56

A good example of kinetic energy is provided by:

(Multiple Choice)

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Question 57

A nonconservative force:

(Multiple Choice)

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Question 58

A golf ball is struck by a golf club and falls on a green eight feet above the tee.The potential energy of the Earth-ball system is greatest:

(Multiple Choice)

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Question 59

A 0.5-kg block slides along a horizontal frictionless surface at 2 m/s.It is brought to rest by compressing a very long spring of spring constant 800 N/m.The maximum spring compression is:

(Multiple Choice)

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Question 60

Showing 41 - 60 of 65

Exam 8: Potential Energy and Conservation of Energy

A ball is held at a height H above a floor.It is then released and falls to the floor.If air resistance can be ignored, which of the five graphs below correctly gives the mechanical energy E of the Earth-ball system as a function of the altitude y of the ball?

The potential energy of a 0.20-kg particle moving along the x axis is given by U(x)= (8.0 J/m2)x2 − (2.0 J/m4)x4.When the particle is at x = 1.0 m the magnitude of its acceleration is:

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 unstable equilibrium are:

A 2-kg block is thrown upward from a point 20 m above the Earth's surface.At what height above Earth's surface will the gravitational potential energy of the Earth-block system have increased by 500 J?

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 neutral equilibrium are:

A 6.0-kg block is released from rest 80 m above the ground.When it has fallen 60 m its kinetic energy is approximately:

A small object of mass m, on the end of a light cord, is held horizontally at a distance r from a fixed support as shown.The object is then released.What is the tension in the cord when the object is at the lowest point of its swing?

No kinetic energy is possessed by:

A 0.50-kg block attached to an ideal spring with a spring constant of 80 N/m oscillates on a horizontal frictionless surface.The total mechanical energy is 0.12 J.The greatest extension of the spring from its equilibrium length is:

A stationary mass m = 1.3 kg is hanging from a spring of spring constant k = 1200 N/m.You raise the mass a distance of 10 cm above its equilibrium position.How much has the potential energy of the mass-spring system changed?

The sum of the kinetic and potential energies of a system of objects is conserved:

The thermal energy of a system consisting of a thrown ball, Earth, and the air is most closely associated with:

A stationary mass m = 1.3 kg is hanging from a spring of spring constant k = 1200 N/m.You raise the mass a distance of 10 cm above its equilibrium position in a time of 1.4 s.What was the average power expended?

A block slides across a rough horizontal table top.The work done by friction changes:

A 700-N man jumps out of a window into a fire net 10 m below.The net stretches 2 m before bringing the man to rest and tossing him back into the air.The maximum potential energy of the net, compared to its unstretched potential energy, is:

A good example of kinetic energy is provided by:

A nonconservative force:

A golf ball is struck by a golf club and falls on a green eight feet above the tee.The potential energy of the Earth-ball system is greatest:

A 0.5-kg block slides along a horizontal frictionless surface at 2 m/s.It is brought to rest by compressing a very long spring of spring constant 800 N/m.The maximum spring compression is:

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The potential energy of a 0.20-kg particle moving along the x axis is given by U(x)= (8.0 J/m²)x²− (2.0 J/m⁴)x⁴.When the particle is at x = 1.0 m the magnitude of its acceleration is: