8.36 The mass of a regulation tennis ball is 52.0 g(although it can vary slightl

Question

8.36

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 29.0 ms . (This number can also vary, depending on the racket and swing.) We shall assume a 29.0 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?

ANSWRE: p=______________kgm/s

B. What force did Big Bill exert on the tennis ball in his record serve?

ANSWER: F= _____________ N

C. If Big Bill's opponent returned his serve with a speed of 54.0 m/s , what force did he exert on the ball, assuming only horizontal motion?

ANSWER: F= _____________ N

D. If Big Bill's opponent returned his serve with a speed of 54.0 m/s , what impulse did he exert on the ball, assuming only horizontal motion?

  ANSWRE: p=______________kgm/s

Explanation / Answer

A) P = m*(v2 - v1)
= 0.052*(73.14 - 0)
= 3.803 kgm/s

B) F = P/t
= (3.803 kgm/s) / ( 0.029 s)
= 131.15 N

D) P = (73.14 + 54)*0.052 = 6.611 kgm/s

C) F = P/t = 6.611/0.029 = 227.98 N

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