Question

A teacher puts 10,000 lolly pops into a chest weighing 10 pounds and drops it down a well. A group of students are trying to get the lolly pops out the well. A student decided to attach to the chest a 100 ft long chain weighing 10 pounds. Several other students, at the top of the well, start lifting the chest out of the well by pulling on the chain in a hand over hand fashion. As the chest is being lifted, lolly pops fall from an opening in the chest at a constant rate such that the chest will be empty when it reaches the top of the well. Given that an individual lolly Pop weight 0.6 ounces, find the work done in raising the chest to the top of the well. Show integration steps.

Answer 1