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: 6.51

Answer

The light bulb uses $3.6\times 10^5~J$ of energy in one hour. A 70-kg person would need to run with a speed of 101 m/s to have the same amount of kinetic energy.

Work Step by Step

$100 ~W = 100 ~J/s$ In one hour: $E = (100~J/s)(3600~s) = 3.6\times 10^5~J$ The light bulb uses $3.6\times 10^5~J$ of energy in one hour. We can find the speed of a 70-kg person with this amount of kinetic energy. $\frac{1}{2}mv^2 = 3.6\times 10^5~J$ $v^2 = \frac{7.2\times 10^5~J}{m}$ $v = \sqrt{\frac{7.2\times 10^5~J}{70~kg}}$ $v = 101~m/s$ A 70-kg person would need to run with a speed of 101 m/s to have the same amount of kinetic energy.
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