Calculus 8th Edition

Published by Cengage
ISBN 10: 1285740629
ISBN 13: 978-1-28574-062-1

Chapter 12 - Vectors and the Geometry of Space - 12.3 The Dot Product - 12.3 Exercises - Page 853: 52


$48000 (cos 36 ^\circ) \approx 38,832$ ft-lb

Work Step by Step

Horizontal component of the force is: $|F|cos 36 ^\circ$ $F=400 lb$ and $d =1200 ft$ As we know the work done is calculated as: $ W=| F||d| cos 36^\circ$ Thus, $ W=( 400 lb) (120 ft) (cos 36^\circ)$ $W= 48000 (cos 36 ^\circ) \approx 38,832$ ft-lb
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