Answer
$$30J$$
Work Step by Step
$$W=\int ^{4}_{1}f_{1}\left( x\right) dx+\int ^{1}_{4}f_{2}\left( x\right) dx=\int ^{4}_{1}2xdx+\int ^{1}_{4}-2xdx=x^{2}]^{4}_{1}-x^{2}]^{1}_{4}=\left( 16-1\right) -\left( 1-16\right) =30J$$
Fundamentals of Physics Extended (10th Edition)
by Halliday, David; Resnick, Robert; Walker, Jearl
Published by
Wiley
ISBN 10:
1-11823-072-8
ISBN 13:
978-1-11823-072-5
Chapter 8 - Potential Energy and Conservation of Energy - Problems - Page 208: 76c
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