Essential University Physics: Volume 1 (3rd Edition)

Published by Pearson
ISBN 10: 0321993721
ISBN 13: 978-0-32199-372-4

Chapter 6 - Section 6.3 - Forces That Vary - Got It?: 6.2

Answer

The answer is below.

Work Step by Step

The work is equal to the integral of $F dx$. While we could compute these integrals, we instead can examine the area under each of the functions from 0 to 1. When doing so, we see that $x^2$ does the least work while $\sqrt{x} $ does the most work from 0 to one, for the latter function has the most area under its curve from zero to one while the former function has the least area under its curve from zero to one.
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