Question

A heavy rope that weighs 2.5 lb/ft hangs vertically from the top of a tall building. A 240 ft-lb work is needed to lift half of the rope to the top of the building. Find the length of the rope.

Answer 1

is this integral calculus?

Answer 2

yes

Answer 3

This should give you a pretty good idea of how to do it:

http://math.wonderhowto.com/how-to/find-work-required-lift-rope-using-calculus-324635/

Answer 4

i am given the work i need to find the length of the rope