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: 50

Answer

$7577.7 \mathrm{ft}-1 \mathrm{b}$

Work Step by Step

The cart is towed $350=S$ feet. The force exerted on the wagon is $25=F$ pounds with an angle of $30^{\circ}=\theta$. The work done is: \[ F \cdot S \cos \theta=\text { Work done } \] Substitute $F . S$ and $\theta$ \[ \begin{array}{l} 25 \cdot 350 \cos 30^{\circ}=\text { Work done } \\ =8750 \cdot 0.866 \\ \qquad=7577.7 \mathrm{ft}-1 \mathrm{b} \end{array} \] The work done is $9031.4$ ft-lb.
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