Trigonometry 7th Edition

Published by Cengage Learning
ISBN 10: 1111826854
ISBN 13: 978-1-11182-685-7

Chapter 7 - Section 7.6 - Vectors: The Dot Product - 7.6 Problem Set - Page 412: 48

Answer

$706.9$ ft-lb

Work Step by Step

A package is pushed across a floor a distance of $52=S$ feet. The force exerted on the package is $15=F$ pounds with an angle of $25^{\circ}=\theta$. The work done is: \[ F \cdot S \cos \theta=\text { Work done } \] Substitute $F . S$ and $\theta$ \[ \begin{array}{l} 52 \cdot 15 \cos 25^{\circ}=\text { Work done } \\ =780 \cdot 0.91 \\ =706.9 \mathrm{ft}-\mathrm{lb} \end{array} \] The work done is $706.9$ ft-lb.
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