University Physics with Modern Physics (14th Edition)

Published by Pearson
ISBN 10: 0321973615
ISBN 13: 978-0-32197-361-0

Chapter 6 - Work and Kinetic Energy - Problems - Exercises - Page 197: 6.54

Answer

The average power produced by friction is 157 W.

Work Step by Step

We can find the force of friction. $F_f = mg~mu_k$ $F_f = (20.0~kg)(9.80~m/s^2)(0.200)$ $F_f = 39.2~N$ The rock slowed down with constant acceleration from $v_0 = 8.00 m/s$ to $v = 0$. The average velocity was $v_{ave} = 4.00 m/s$ We can find the average power produced by friction. $P_{ave} = F~ v_{ave} = (39.2~N)(4.00~m/s)$ $P_{ave} = 157~W$ The average power produced by friction is 157 W.
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