A worker lifts a weight w by pulling down on a rope with a force F. The upper pulley is attached to the ceiling by a chain, and the lower pulley is attached to the weight by another chain. The weight is lifted at constant speed. Assume that the rope, pulleys, and chains all have negligible weights. In terms of w, find:
(a) the tension in the lower chain
(b) the tension in the upper chain
(c) the magnitude of the force
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