a basketball of mass of 0.60kg is dropped from rest from aheight of 1.22m. it re

Question

a basketball of mass of 0.60kg is dropped from rest from aheight of 1.22m. it rebounds to a height of 0.69m.
a) how much mechanical energy was lost to the surroundingsduring the collision with the floor? b) a basketball player dribbles the ball form a height of 1.22by exerting a constant downward force on it for a distance of0.13m. in dribbling, the player compensates the mechanical energylost for each bounce. if the all now returns to a height of 1.22 m,what is the magnitude of the force?
a) how much mechanical energy was lost to the surroundingsduring the collision with the floor? b) a basketball player dribbles the ball form a height of 1.22by exerting a constant downward force on it for a distance of0.13m. in dribbling, the player compensates the mechanical energylost for each bounce. if the all now returns to a height of 1.22 m,what is the magnitude of the force?

Explanation / Answer

       a)     Mechanicalenergy E k = 1/2 mg(h1 - h2)                                                            = 1/2 * 0.60kg *9.81m/s (1.22m - 0.69m)                                                             = 1.559J          b) Magnitudeof force F = mgh/s                                               = 0.60kg * 9.81m/s *1.22m / 0.13m                                                                                                      = 55N

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