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Interactive Solution 6.75 offers help in modeling thisproblem. A basketball of m

ID: 1761682 • Letter: I

Question

Interactive Solution 6.75 offers help in modeling thisproblem.

A basketball of mass 0.50 kg is droppedfrom rest from a height of 1.22 m. It rebounds to a height of0.80 m. (a) How much mechanical energy was lost duringthe collision with the floor?
1 J

(b) A basketball player dribbles the ball from a height of 1.22 mby exerting a constant downward force on it for a distance of 0.13m. In dribbling, the player compensates for the mechanical energylost during each bounce. If the ball now returns to a height of1.22 m, what is the magnitude of the force?
2 N
(a) How much mechanical energy was lost duringthe collision with the floor?
1 J

(b) A basketball player dribbles the ball from a height of 1.22 mby exerting a constant downward force on it for a distance of 0.13m. In dribbling, the player compensates for the mechanical energylost during each bounce. If the ball now returns to a height of1.22 m, what is the magnitude of the force?
2 N

Explanation / Answer

The amount of mechanical energy lost is                 E = mgh1 - mgh2                      = (mg)(h1 - h2)                      = (0.50kg)(9.8m/s2)(1.22m - 0.80m)                     = 2.058 J

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