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We have a cable that weighs 2lbs/ft attached to a bucket filled with coal that weighs 800lbs.The bucket is initially at the bottom of a 500 ft mine shaft.Determine the amount of work required to lift the bucket to the midpoint of the shaft.

$\begin{array}{1 1}387500ft-lb\\287500ft-lb\\187500ft-lb\\587500ft-lb\end{array} $

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