University Calculus: Early Transcendentals (3rd Edition)

Published by Pearson
ISBN 10: 0321999584
ISBN 13: 978-0-32199-958-0

Chapter 11 - Section 11.3 - The Dot Product - Exercises - Page 617: 43

Answer

$\approx 3464.1\ J$

Work Step by Step

If a constant force ${\bf F}$ acts through a displacement ${\bf D}=\vec{PQ}$ the work done is ${\bf W}={\bf F}\cdot{\bf D}$ --- ${\bf F}\cdot{\bf D}=|{\bf F}|\cdot|{\bf D}|\cos\alpha$ ${\bf W}=(200\ N)(20\ m)(\cos 30^{\circ})$ $=4000\displaystyle \cdot\frac{\sqrt{3}}{2}\ Nm$ $=2000\sqrt{3}\ J$ $\approx 3464.1\ J$
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.