The mass of a regulation tennis ball is 56.0 g (although it can vary slightly),

Question

The mass of a regulation tennis ball is 56.0 g (although it can vary slightly), and tests have shown that the ball is in contact with the tennis racket for 31.0 ms . (This number can also vary, depending on the racket and swing.) We shall assume a 31.0 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.

Part A

What impulse did Big Bill exert on the tennis ball in his record serve?

SubmitMy AnswersGive Up

Part B

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

SubmitMy AnswersGive Up

Part C

If Big Bill's opponent returned his serve with a speed of 56.0 m/s , what force did he exert on the ball, assuming only horizontal motion?

SubmitMy AnswersGive Up

Part D

If Big Bill's opponent returned his serve with a speed of 56.0 m/s , what impulse did he exert on the ball, assuming only horizontal motion?

Explanation / Answer

ball goes to speed zero when it comes in contact

impulse = change in momentum = 73.14*56/1000 =4.09584 Ns

force Big Bill exert on the tennis ball = (73.14*56/1000)/(31*10^(-3)) = 132.123870968 N

impulse given by bat (opponent) = change in momentum = 56/1000 *(73.14+56) =7.23184 Ns

force applied by bat (opponent)= impulse / t = 7.23184 / (31*10^(-3)) = 233.28516129 N

Related Questions

Navigate

• Browse (All)
• Browse T
• Subjects

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.