University Calculus: Early Transcendentals (3rd Edition)

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

Chapter 6 - Section 6.5 - Work - Exercises - Page 380: 7


$780$ J

Work Step by Step

We know that Hooke's Law states that $F=k x$ To calculate the work done, the limits for $x$ will be from $0$ to $50$ such that: $W=\int_0^{50} 0.624 x=0.312[ \dfrac{x^2}{2}]_0^{50}$ or, $W=0.312[ (50)^2-0] =780$ J
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