Mastering Physics Solutions: Exercise 5.42

Mastering Physics Solutions: Exercise 5.42

On December 25, 2011, in Chapter 05: Work and Energy, by Mastering Physics Solutions

Part A = 4.2*10-2 Click to use the calculator/solver for this part of the problem

A horizontal spring, resting on a frictionless tabletop, is stretched 18 cm from its unstretched configuration and a 1.00kg mass is attached to it.
How does its final potential energy compare to its initial potential energy?

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Mastering Physics Solutions: Exercise 5.25

Mastering Physics Solutions: Exercise 5.25

On December 24, 2011, in Chapter 05: Work and Energy, by Mastering Physics Solutions

Part A = 1.9J Click to use the calculator/solver for this part of the problem
Part B = 2.9J Click to use the calculator/solver for this part of the problem

A particular spring has a force constant of 1.5×103 N/m. How much work is done in stretching the relaxed spring by 5.0 cm? How much more work is done in stretching the spring an additional 3.0 cm?

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Mastering Physics Solutions: Fun with a Spring Gun

Mastering Physics Solutions: Fun with a Spring Gun

On December 24, 2011, in Chapter 05: Work and Energy, by Mastering Physics Solutions

Part A =

  • Mechanical energy is conserved because no dissipative forces perform work on the ball.
  • The forces of gravity and the spring have potential energies associated with them.

Part B = 4.78m/s Click to use the calculator/solver for this part of the problem
Part C = 1.17m Click to use the calculator/solver for this part of the problem
Part D =

  • increasing the spring constant k
  • increasing the distance the spring is compressed
  • decreasing the mass of the ball

Fun with a spring gun mastering physics: A spring-loaded toy gun is used to shoot a ball of mass m = 1.50kg straight up in the air, as shown in the figure.

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Mastering Physics Solutions: Stretching a Spring

Mastering Physics Solutions: Stretching a Spring

On December 24, 2011, in Chapter 05: Work and Energy, by Mastering Physics Solutions

Part A = From x = 2d to x = 3d
Part B = The same amount of energy is required to either stretch or compress the spring.
Part C = Spring A must stretch half the distance spring B stretches.
Part D = Spring A requires the same amount of energy as spring B.

As illustrated in the figure, a spring with spring constant k is stretched from x = 0 to x = 3d, where x = 0 is the equilibrium position of the spring. During which interval is the largest amount of energy required to stretch the spring?

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Mastering Physics Solutions: Understanding Work Done by a Constant Force

Mastering Physics Solutions: Understanding Work Done by a Constant Force

On December 22, 2011, in Chapter 05: Work and Energy, by Mastering Physics Solutions

Part A = A. Positive
Part B = C. Zero
Part C = B. Negative
Part D = C. Zero
Part E = W = 0J
Part F = W = wdcos(90 – φ)
Part G = W = 0
Part H = D. None of these

Which of the following statements accurately describes the sign of the work done on the box by the force of the push? Which of the following statements accurately describes the sign of the work done on the box by the normal force? Which of the following statements accurately describes the sign of the work done on the box by the force of kinetic friction? Which of the following statements accurately describes the sign of the work done on the box by the force of gravity (i.e., the weight)?

You have just moved into a new apartment and are trying to arrange your bedroom. You would like to move your dresser of weight 3,500 N across the carpet to a spot 5 m away on the opposite wall. Hoping to just slide your dresser easily across the floor, you do not empty your clothes out of the drawers before trying to move it. You push with all your might but cannot move the dresser before becoming completely exhausted. How much work do you do on the dresser?

A box of weight w is sliding down a frictionless plane that is inclined at an angle φ above the horizontal, as shown in the figure (Part F figure) . What is the work done on the box by the force of gravity if the box moves a distance d?

The planet Earth travels in a circular orbit at constant speed around the Sun. What is the net work done on the Earth by the gravitational attraction between it and the Sun in one complete orbit?

A block of mass m is pushed up against a spring with spring constant k until the spring has been compressed a distance x from equilibrium. What is the work done on the block by the spring?

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Mastering Physics Solutions: Hooke’s Law

Mastering Physics Solutions: Hooke’s Law

On December 20, 2011, in Chapter 05: Work and Energy, by Mastering Physics Solutions

Part A = k = 4.0*104 N/m Click to use the calculator/solver for this part of the problem
Part B = x = 0.45m Click to use the calculator/solver for this part of the problem
Part C = No, typical small pickup truck springs are not large enough to compress 0.45 m.
Part D = The new springs should have a spring constant that is substantially larger than the spring constant of the old springs.

Now imagine that you are a Haitian taptap driver and want a more comfortable ride. You decide to replace the springs with new springs that can handle the typical heavy load on your vehicle. What spring constant do you want your new spring system to have?

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