Solve the problem.
-A 20-m-long chain hangs vertically from a cylinder attached to a winch. Assume there is no friction in the system and that the chain has a density of 10 kg/m. How much work is required to wind the entire chain onto the cylinder using the winch?
A) 4000g J
B) 200g J
C) 2000g J
D) 3900g J

Question

Solve the problem.   
-A 20-m-long chain hangs vertically from a cylinder attached to a winch. Assume there is no friction in the system and that the chain has a density of 10 kg/m. How much work is required to wind the entire chain onto the cylinder using the winch?
A) 4000g J
B) 200g J
C) 2000g J
D) 3900g J

Quizplus · Accepted Answer

The work done to wind the chain is calculated by integrating the force needed to lift each infinitesimal segment of the chain over the entire length. The force at a point is the weight of the chain below that point. The total work is given by the integral of the weight function over the length of the chain, which results in 2000g J.

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