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14 Apr 2020
Show how to approximate the required work done by a Riemann sum. Then express the work as an integral an evaluate it.
A heavy rope, 50 ft long, weighs 0.5 lb/ft and hangs over the edge of a building 120 ft high.
How much work is done in pulling the rope to the top of the building?
How much work is done in pulling half the rope to the top of the building?
Show how to approximate the required work done by a Riemann sum. Then express the work as an integral an evaluate it.
A heavy rope, 50 ft long, weighs 0.5 lb/ft and hangs over the edge of a building 120 ft high.
How much work is done in pulling the rope to the top of the building?
How much work is done in pulling half the rope to the top of the building?
Elin HesselLv2
22 May 2020