calculus II
suppose a bucket is being pulled up from the bottom of a 8m deep well. The bucket weighs 5kg and the rope pulling the bucket weighs a negligible amount. the bucket is initially filled with 7kg of water.
i.How much work does it take to pull the full bucket up from the bottom to the top of the well?
hint: use the formuals for work and force
ii. Now suppose the bucket has a leak and loses water at a rate of .2 kg/m (i.e. .2 kg is lost for every meter that the bucket rises). How much work need to does it take to pull the bucket up from the bottom to the top of the well?

Question

calculus II 
suppose a bucket is being pulled up from the bottom of a 8m deep well. The bucket weighs 5kg and the rope pulling the bucket weighs a negligible amount. the bucket is initially filled with 7kg of water.
  i.How much work does it take to pull the full bucket up from the bottom to the top of the well?
hint: use the formuals for work and force 
  ii. Now suppose the bucket has a leak and loses water at a rate of .2 kg/m (i.e. .2 kg is lost for every meter that the bucket rises). How much work need to does it take to pull the bucket up from the bottom to the top of the well?

anonymous · Answer

hint: you need to slice the distance the bucket is traveling into small lenghts, find the work done over a slice, and then form a integral.