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: 47

Answer

$2889.55$ ft-lb

Work Step by Step

A package is pushed across a floor a distance of $75=S$ feet. The force exerted on the package is $41=F$ pounds with an angle of $20^{\circ}=\theta$. The work done is given by \[ F \cdot S \cos \theta=\text { Work done } \] Substitute $F . S$ and $\theta$ \[ \begin{aligned} &41 \cdot 75 \cos 20^{\circ}=\text { Work done } \\ &=3075 \cdot 0.94 \\ &=2889.55 \mathrm{ft}-\mathrm{lb} \end{aligned} \] The work done is $2889.55$ ft-lb.
Update this answer!

You can help us out by revising, improving and updating this answer.

Update this answer

After you claim an answer you’ll have 24 hours to send in a draft. An editor will review the submission and either publish your submission or provide feedback.