College Physics (4th Edition)

Published by McGraw-Hill Education
ISBN 10: 0073512141
ISBN 13: 978-0-07351-214-3

Chapter 1 - Problems: 5

Answer

The metabolic rate of a 70-kg human exceeds the metabolic rate of a 5.0-kg cat by a factor of 7.2

Work Step by Step

We can find the ratio of the metabolic rate of a 70-kg human to the metabolic rate of a 5.0-kg cat. $ratio = \frac{(70 ~kg)^{3/4}}{(5.0 ~kg)^{3/4}} = (\frac{70}{5.0})^{3/4} = (14)^{3/4} = (14^3)^{1/4}$ $ratio = (2744)^{1/4} = 7.2$ The metabolic rate of a 70-kg human exceeds the metabolic rate of a 5.0-kg cat by a factor of 7.2
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