The total work is given by:
Let's divide the rope into pieces of length Δx
The portion of the rope from x ft to Δx ft below the top of the building has a weight of 0.5 ft/lb.
This portion must be moved x feet.
Therefore, the total work is given by:
A heavy rope, 50 ft long, weighs 0.5 lb ft and hangs over the
edge of a building 120 ft high.
(a) How much work is done in pulling the rope to the top of
(b) How much work is done in pulling half the rope to the top
of the building?
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