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A robot arm that controls the position of a video camera in an automated surveillance system is manipulated by a servo motor that exerts a force on a...

A robot arm that controls the position of a
video camera in an automated surveillance
system is manipulated by a servo motor that
exerts a force on a push-rod. The force is
given by
F(x) = (18.6 N/m2) x2 ,
where x is the position of the end of the push-
rod.
If the push-rod moves from x1 = 1.5 m to
x2 = 4 m, how much work did the servo motor
do?
Answer in units of J

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