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A box of mass 10.2 kg with an initial velocity of 2.1 m/s slides down a...

A box of mass 10.2 kg with an initial velocity of 2.1 m/s slides down a plane, inclined at 28◦ with respect to the horizontal. The coefficient of kinetic friction is 0.69. The box stops after sliding a distance x.

a. How far does the box slide? The acceleration due to gravity is 9.8 m/s 2 . The positive x-direction is down the plane. Answer in units of m.

b. What is the the work done by friction? Answer in units of J.

c. What is the work done by the normal force? Answer in units of J.

d. What is the magnitude of the work done by gravity? Answer in units of J.

e. What is the magnitude of the instantaneous power generated by friction half way between the initial and final positions? Answer in units of W.

f. What is the magnitude of the average power generated by friction from start to stop? Answer in units of W.

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