A 5 lb monkey is attached to the end of a 30ft hanging chain that weighs 0.2lb/ft. It climbs the chain to the top. How much work does it do?
There are a few ways to do this problem here is one.
When the monkey is at the bottom the total weight it is carrying is 5 lbs
and when it is at the top it is carrying
beucase it is only holding up half of the chain.
The equation between these two points you get
So the work is
I hope this helps. Good luck