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# BIO Human Biomechanics. The fastest served tennis ball, ISBN: 9780321675460 31

## Solution for problem 42P Chapter 4

University Physics | 13th Edition

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Problem 42P

BIO Human Biomechanics.? The fastest served tennis ball, served by “Big Bill” Tilden in 1931, was measured at 73.14 m/s. The mass of a tennis ball is 57 g, and the ball, which starts from rest, is typically in contact with the tennis racquet for 30.0 ms. Assuming constant acceleration, (a) what force did Big Bill’s tennis racquet exert on the ball if he hit it essentially horizontally? (b) Draw free-body diagrams of the ball during the serve and just after it moved free of the racquet.

Step-by-Step Solution:

Solution 42P Step 1: The acceleration at a particular instant, a = v/t Force, F = ma Step 2: a) In this problem, the change in velocity, v = 73.14 m/s Time of contact, t = 30 ms = 0.03 s 2 Therefore, the acceleration, a = 73.14 m/s / 0.03 s = 2438 m/s Mass of the tennis ball, m = 57 g = 0.057 kg Therefore, F = ma = 0.057 kg × 2438 m/s = 139 kg m/s = 139 N 2

Step 3 of 3

##### ISBN: 9780321675460

University Physics was written by and is associated to the ISBN: 9780321675460. Since the solution to 42P from 4 chapter was answered, more than 525 students have viewed the full step-by-step answer. This textbook survival guide was created for the textbook: University Physics, edition: 13. The full step-by-step solution to problem: 42P from chapter: 4 was answered by , our top Physics solution expert on 05/06/17, 06:07PM. This full solution covers the following key subjects: ball, Tennis, racquet, Big, bill. This expansive textbook survival guide covers 26 chapters, and 2929 solutions. The answer to “BIO Human Biomechanics.? The fastest served tennis ball, served by “Big Bill” Tilden in 1931, was measured at 73.14 m/s. The mass of a tennis ball is 57 g, and the ball, which starts from rest, is typically in contact with the tennis racquet for 30.0 ms. Assuming constant acceleration, (a) what force did Big Bill’s tennis racquet exert on the ball if he hit it essentially horizontally? (b) Draw free-body diagrams of the ball during the serve and just after it moved free of the racquet.” is broken down into a number of easy to follow steps, and 87 words.

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