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: 10



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 $b$ to $a$ such that: $W=\int_b^{a} (\dfrac{-k}{x^2}) dx=k[(\dfrac{1}{x})]_b^{a}$ or, $W=k[\dfrac{1}{a}-\dfrac{1}{b}]=\dfrac{k(b-a)}{ab}$
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