Figure shows two pulleys arranged to help lift a heavy load. A rope runs around two massless, frictionless pulleys and the weight w hangs from one pulley. You exert a force of magnitude F on the free end of the cord. 

(a) If the weight is to move up a distance h, through what distance must the force move? 

(b) How much work is done by the ropes on the weight? 

(c) How much work do you do? (This is an example of a simple machine in which a small force F₁ moves through a large distance x₁ to exert a large force F₂ (= w) through a smaller distance x₂ = h)

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