A painter weighing 120 pounds is hoisted by means of a rope windlass from the ground to a window on the tenth story of a hotel, 80 feet above ground level. (a) If the weight of the entire rope is considered to be negligible, then find the work W required to lift the person the 80 feet above ground level. (b) Assume that instead of a rope, a substantial chain weighing 2 pounds per foot is used in the windlass. Find the work W1 required to lift the person the 80 feet from ground level. (Hint: Note that as the person is lifted, the length of the chain that must be lifted decreases.)

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