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 200: 6.87

Answer

The student spent 3.64 hours walking.

Work Step by Step

$1 ~day = (24 ~hours)(3600~s/hr) = 86400~s$ Let $t$ be the time in seconds spent walking. Then the remaining time is (86400 - t) seconds. $(280~W)~t + (100~W)(86400 - t) = 1.1\times 10^7~J$ $(180~W)~t + (100~W)(86400~s) = 1.1\times 10^7~J$ $t = \frac{1.1\times 10^7~J - 8.64\times 10^6~J}{180~W}$ $t = 13111~s = 3.64~hours$ The student spent 3.64 hours walking.
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