Interactive Solution 6.75 offers help inmodeling this problem. A basketball of m

Question

Interactive Solution 6.75 offers help inmodeling this problem. A basketball of mass 0.611 kg is droppedfrom rest from a height of 1.17 m. It rebounds to a height of 0.638m. (a) How much mechanical energy was lost duringthe collision with the floor? (b) A basketballplayer dribbles the ball from a height of 1.17 m by exerting aconstant downward force on it for a distance of 0.126 m. Indribbling, the player compensates for the mechanical energy lostduring each bounce. If the ball now returns to a height of 1.17 m,what is the magnitude of the force?

Explanation / Answer

Initial height h = 1.17 m

Final height h ‘ = 0.638 m

Mass m = 0.611 kg

(a). Mechnical energy lost in collision E = mg (h– h ‘ )

                                                                  = 3.185 J

(b). distance S = 0.126 m

So, force F = E / S
                  = 25.28 N

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