Physics for Scientists and Engineers: A Strategic Approach with Modern Physics (3rd Edition)

Published by Pearson
ISBN 10: 0321740904
ISBN 13: 978-0-32174-090-8

Chapter 11 - Work - Exercises and Problems: 24

Answer

(a) As the child slides down to a lower height, the potential energy decreases as the potential energy is transformed into kinetic energy of the child's motion and thermal energy on the slide and the child's pants. Note that the amount of thermal energy produced is equal to the magnitude of the work done by friction. (b) The thermal energy of the slide and the child's pants increases by 548 J.

Work Step by Step

(a) As the child slides down to a lower height, the potential energy decreases as the potential energy is transformed into kinetic energy of the child's motion and thermal energy on the slide and the child's pants. Note that the amount of thermal energy produced is equal to the magnitude of the work done by friction. (b) The amount of thermal energy produced is equal to the magnitude of the work done by friction. We can use the work-energy theorem to find the work done by friction. $PE + W_f = KE$ $W_f = KE - PE$ $W_f = \frac{1}{2}mv^2-mgh$ $W_f = \frac{1}{2}(20~kg)(2.0~m/s)^2-(20~kg)(9.80~m/s^2)(3.0~m)$ $W_f = -548~J$ The thermal energy of the slide and the child's pants increases by 548 J.
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