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: 44

Answer

$2,640,000\ ft\cdot lb$

Work Step by Step

If a constant force ${\bf F}$ acts through a displacement ${\bf D}=\vec{PQ}$ the work done is ${\bf W}={\bf F}\cdot{\bf D}$ --- ${\bf F}\cdot{\bf D}=|{\bf F}|\cdot|{\bf D}|\cos\alpha,\quad 1\ mi=5280\ ft.$ ${\bf W}=(1000\ lb)(5280\ ft)(\cos 60^{\circ})$ $=5,280,000\displaystyle \cdot\frac{1}{2}\ ft\cdot lb$ $=2,640,000\ ft\cdot lb$
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