1) A bucket that weighs 4lb and a rope of negligible weight are used to draw water from a well that is 80ft deep. The bucket is filled with 40lb of water and is pulled up at a rate of 2ft/s, but water leaks out of a hole in the bucket at a rate of 0.2lb/s. Find the work done in pulling the bucket to the top of the well.
I don't know how to set up an equation for this one, that's pretty much what I need help with for this problem.
2) A tank full of water. Find the work required to pump the water out of the spout.