Answer
13 J
Work Step by Step
$W=\int^{x_{f}}_{x_{i}}F(x)dx=\int^{2.0}_{0}10e^{-x/2.0}dx$
$=10\int^{2.0}_{0}e^{-x/2.0}dx=[10\times-2\times e^{-x/2.0}]^{2.0}_{0}=-20(e^{-1}-e^{-0})=13\,J$
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 7 - Kinetic Energy and Work - Problems - Page 176: 73b
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