Physics: Principles with Applications (7th Edition)

Published by Pearson
ISBN 10: 0-32162-592-7
ISBN 13: 978-0-32162-592-2

Chapter 6 - Work and Energy - Problems - Page 165: 20

Answer

The average force exerted by the ball on the glove is 296 N.

Work Step by Step

Let's calculate the kinetic energy of the ball. $KE = \frac{1}{2}mv^2$ $KE = \frac{1}{2}(0.145 ~kg)(32 ~m/s)^2$ $KE = 74 ~joules$ The work done by the glove on the ball is equal to the kinetic energy of the ball. $Work = Fd$ $Fd = KE$ $F = \frac{KE}{d}$ $F = \frac{74 ~J}{0.25 ~m}$ $F = 296 ~N$ The average force exerted by the glove on the ball is 296 N, and by Newton's Third Law, the average force exerted by the ball on the glove is 296 N.
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