You are designing a pump to transfer water from an underground water aquifer to a new water tower in Tallahassee. The tower can be described as a cylindrical vessel that is 3 m in diameter and 4 m in height. The vessel bottom is 15 m above ground level. Water is transferred from the aquifer into the vessel via tubing that enters the vessel bottom. The water surface of the aquifer is 5 m below ground level. Assume that the tower, aquifer, and tubing are well-insulated, that all water is at a uniform temperature, and that your pump has an efficiency of 70%. A. When the water tower is completely empty, what is the Ws required to move 1 kg/s of water into the tower? B. When the water tower is almost full, what is the Ws required to move 1 kg/s of water into the tower? C. A house has a second floor faucet that is 3 m above ground level. The house receives water from the tower, where the transfer is powered only by the force of gravity. What is the maximum velocity the water can have as it exits the faucet? D. Suppose the tower has these same dimensions but is located on top of a hill. Repeat Part C, assuming the altitude of the water faucet is 5 m below the altitude at the top of the hill