A chain 27 feet long whose weight is 95 pounds is hanging over the edge of a tall building and does not touch the ground. How much work is required to lift the entire chain to the top of the building?

Work done lb-ft

Step-by-step explanation:

The density of the chain in lb/ft  is equal to

lb/ft

Total Work done is equal to the summation of  work done up to the top of building.

We will use integration for this evaluation.

The mathematical relation is as follows

where "p" is the density

Substituting the given values, we get

Work done lb-ft

the answer to the expression is 83