The mass of a regulation tennis ball is 52.0 g} (although it can vary slightly),

Question

The mass of a regulation tennis ball is 52.0 g} (although it can vary slightly), and tests have shown that the ball is in contact with the tennis racket for 35.0 ms . (This number can also vary, depending on the racket and swing.) We shall assume a 35.0 ms contact time throughout this problem. The fastest-known served tennis ball was served by "Big Bill" Tilden in 1931, and its speed was measured to be 73.14 m/s A.What impulse did Big Bill exert on the tennis ball in his record serve? B.What force did Big Bill exert on the tennis ball in his record serve? C.If Big Bill's opponent returned his serve with a speed of 57.0{ m m}/{ m s} , what force did he exert on the ball, assuming only horizontal motion? D.If Big Bill's opponent returned his serve with a speed of 57.0{ m m}/{ m s} , what impulse did he exert on the ball, assuming only horizontal motion?

Explanation / Answer

A. impulse[change in momentum(take the speed of tennis ball initially to be in rest position)] = 52*10^-3*73.14 = 3.8038 kg.m/s. B.force = impulse/time = 3.8038/(35*10^-3) = 108.66 N. D. impulse by opponent = 52*10^-3*(73.14-(-57.0)) = 6.76728 kg.m/s. C. force exerted by opponent on the ball = impulse/time = 6.76728/(35*10^-3) = 193.35 N.

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