2) A woman carries a large bucket of water to the top of a 40 meter tower at a constant upward speed. The bucket has a mass of 10 kg and initially contains 30 kg of water, but it leaks at a constant rate and only 10 kg of water are in the bucket at the top of the tower. a) Write an expression for the mass of the bucket plus water as a function of the height y climbed. b) Find the work done by the woman on the bucket.