Calculus: Early Transcendentals 8th Edition

Published by Cengage Learning
ISBN 10: 1285741552
ISBN 13: 978-1-28574-155-0

Chapter 16 - Section 16.2 - Line Integrals - 16.2 Exercise - Page 1086: 45


$\approx 1.67 \times 10^{4} ft-lb$

Work Step by Step

The magnitude of gravitational force acting on the man +Can of paint $=160+25=185$ lbs When we are moving in the upward direction, then we have $F \cdot dr=185 dr$ and $W=\int_C F\cdot dr=185 \int_C dr$ Here, $C$ is a vertical line segment joining the lower and upper part of the silo, so we get Work done, $W=\int_C F\cdot dr=(185) \int_C dr=185(90) \approx 1.67 \times 10^{4} ft-lb$
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