Essential University Physics: Volume 1 (3rd Edition)

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

Chapter 6 - Section 6.2 - Work - Got It?: 6.1

Answer

b)

Work Step by Step

We know that the work done is given by: $$ W = Fd cos \theta$$ The distance is the same, so we compare $Fcos \theta$. In the first case, the angle is 0 degrees and the force is F, so we get a work of F times the distance. In the second case, we have a force of 2F and an angle of 45 degrees. When plugged into the equation, this simplifies to $\sqrt{2} F$ times the distance, which is greater than the work done in the first scenario.
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