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80. (a) Using Eq. 732, the work becomes
W
=
9
2
x
2
–
x
3
(SI units understood).
The plot
is shown below:
(b) We see from the graph that its peak value occurs at
x
= 3.00 m.
This can be verified
by taking the derivative of
W
and setting equal to zero, or simply by noting that this is
where the force vanishes.
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 Spring '09
 NAJAFZADEH
 mechanics, Work

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