The mass of a regulation tennis ball is 52.0g (although it can vary slightly), a
ID: 2201118 • Letter: T
Question
The mass of a regulation tennis ball is 52.0g (although it can vary slightly), and tests have shown that the ball is in contact with the tennis racket for 26.0m/s} . (This number can also vary, depending on the racket and swing.) We shall assume a 26.0m/s 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? Answer: 3.8 Part B:What force did Big Bill exert on the tennis ball in his record serve? Part C:If Big Bill's opponent returned his serve with a speed of 56.0m/s , what force did he exert on the ball, assuming only horizontal motion? Part D: If Big Bill's opponent returned his serve with a speed of 56.0m/s , what impulse did he exert on the ball, assuming only horizontal motion?Explanation / Answer
The mass of a regulation tennis ball is 57.0 (although it can vary slightly), and tests haveshown that the ball is in contact with the tennis racket for 30.0 . (This number can also vary, depending on theracket and swing.) We shall assume a 30.0 contact time throughout this problem. Thefastest-known served tennis ball was served by "Big Bill" Tilden in1931, and its speed was measured to be 73.14 . (a) What impulse did Big Bill exert on the tennis ball in hisrecord serve?
Given mass of tennis ball, m =57.0x10-3 kgContact time t = 30ms = 30x10-3sSpeed of ball, by Bill = 73.14 m/sSpeed of ball by opponent = 55.0 m/s (a) Impulse F.t = P =m v = 57.0 x10-3 x 73.14 = 4169x10-3 = 4.17 kg.m/s (b) F1 = P /t= 4169x10-3 /30x10-3 =139 N. (c) F2 =P/t = mv/t = 57.0 x10-3x( 73.14 - - 55.0)/30x10-3 =57.0 x10-3 x 128.14/30x10-3 = 243 N. (d) Impulse, I= F.
Related Questions
Navigate
Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.