Answer
Please see the work below.
Work Step by Step
We know that
$W=\int{P}{dt}$
$W=\int ct^2dt$
$W=(\frac{c}{3})t^3$
$W=(\frac{18}{3})t^3$
$W=6t^3$
We plug in the known values to obtain:
$W=6(20)^3-6(10)^3$
$W=42000J$
Essential University Physics: Volume 1 (3rd Edition)
by Wolfson, Richard
Published by
Pearson
ISBN 10:
0321993721
ISBN 13:
978-0-32199-372-4
Chapter 6 - Exercises and Problems - Page 107: 75
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