Please solve this question #4 (a) find the work done by this person in pulling the bucket to the top of the tank.(b) The person at the top of the tank realized that the bucket is empty. To fix the bucket later, this person puts the bucket to a shelf that is 1 ft higher then the top of the tank. Find the total work done by this person.

Question 4 13 pts A bucket that weighs 1 lb and a rope of negligible weight are used to deliver water from a tank that is 4 ft deep. The bucket is filled with 2 lb of water, but water leaks out of a hole in the bucket at a constant rate. It finishes draining water at the top of the tank. Suppose that a person at the top of the tank is pulling the bucket. (a) Find the work done by this person in pulling the bucket to the top of the tank. (8 pts) (b) The person at the top of the tank realized that the bucket is empty. To fix the bucket later, this person puts the bucket to a shelf that is 1 ft higher than the top of the tank. Find the total work done by this person, (5 pts)