Answer
$=2.24 \mathrm{~J}.$
Work Step by Step
The work is given by the integral of force through the distance:
$$
\int_{-0.05}^{-0.09} 800 x d x=\left.400 x^{2}\right|_{-0.05}^{-0.09}=2.24 \mathrm{~J}.
$$
Calculus (3rd Edition)
by Rogawski, Jon; Adams, Colin
Published by
W. H. Freeman
ISBN 10:
1464125260
ISBN 13:
978-1-46412-526-3
Chapter 6 - Applications of the Integral - 6.5 Work and Energy - Exercises - Page 316: 6
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