A 30-foot chain weighs 750 pounds and is hauled up to the deck of a boat. The chain is oriented vertically and the top of the chain starts 30 feet below the deck. Compute the work done.

Question

Quizplus · Accepted Answer

The work done is calculated by integrating the weight of the chain over the distance it is lifted. The weight per foot is 750/30 = 25 pounds/foot. The work done is the integral from 0 to 30 of 25x dx, which equals 33,750 foot-pounds.

A 30-Foot Chain Weighs 750 Pounds and Is Hauled Up