Chapter 9: Q. 8 (page 227)
FIGURE is the kinetic-energy graph for a 2.0 kg object moving along the x-axis. Determine the work done on the object during each of the four intervals AB, BC, CD, and DE.

Short Answer
Work Done by
AB: J
BC: J
CD:J
DE:J
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Chapter 9: Q. 8 (page 227)
FIGURE is the kinetic-energy graph for a 2.0 kg object moving along the x-axis. Determine the work done on the object during each of the four intervals AB, BC, CD, and DE.

Work Done by
AB: J
BC: J
CD:J
DE:J
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Hooke’s law describes an ideal spring. Many real springs are better described by the restoring force , where q is a constant.
Consider a spring with .
It is also.
a. How much work must you do to compress this spring ? Note that, by Newton’s third law, the work you do on the spring is the negative of the work done by the spring.
b. By what percent has the cubic term increased the work over what would be needed to compress an ideal spring? Hint: Let the spring lie along the s-axis with the equilibrium position of the end of the spring at .
Then ∆s = s.
Six dogs pull a two-person sled with a total mass of . The coefficient of kinetic friction between the sled and the snow is . The sled accelerates at until it reaches a cruising speed of . What is the team’s
(a) maximum power output during the acceleration phase and
(b) power output during the cruising phase?
A spring has an unstretched length of 10 cm. It exerts a restoring force F when stretched to a length of 11 cm.
a. For what length of the spring is its restoring force 3F?
b. At what compressed length is the restoring force 2F
³§³Ü²õ²¹²Ô’s kg baby brother Paul sits on a mat. Susan pulls the mat across the floor using a rope that is angled above the floor. The tension is a constant N and the coefficient of friction is . Use work and energy to find Paul’s speed after being pulled m.
A farmer uses a tractor to pull a bale of hay up a incline to the barn at a steady . The coefficient of kinetic friction between the bale and the ramp is . What is the tractor’s power output?
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