Question

one end of a rope weighing 0.25 pounds per foot is tied to a small 20-pound monkey, and then the rope is used to lower the monkey into a 60-foot deep well to retrieve a 7 pound wrench. the monkey gets out of the well (carrying the wrench) by climbing up the rope, with the end of the rope still tied to the monkey. how much work does the monkey do in climbing up to the top of the well?

Answer 1

The monkey does 38,640 foot-pounds of work in climbing up the well.

Step-by-step explanation:

In order to calculate the work done by the monkey in climbing up the well, we need to use the formula:

Work = Force x Distance

The force exerted by the monkey is equal to its weight, which can be calculated using the mass of the monkey (20 pounds) and the acceleration due to gravity (32.2 ft/s^2). So the weight of the monkey is 20 pounds x 32.2 ft/s^2 = 644 pounds. The distance that the monkey climbs is equal to the depth of the well (60 feet). Therefore, the work done by the monkey in climbing up the well is:

Work = Force x Distance = 644 pounds x 60 feet = 38,640 foot-pounds of work.