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: 51


$2400 (cos 40 ^\circ) \approx 1839$ ft-lb

Work Step by Step

Horizontal component of the force is: $|F|cos 40 ^\circ$ $F=30 lb$ and $d =80 ft$ As we know the work done is calculated as: $ W=| F||d| cos 40^\circ$ Thus, $ W=( 30 lb) (80 ft) (cos 40 ^\circ)$ $W= 2400 (cos 40 ^\circ) \approx 1839$ ft-lb
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