A pump, submerged at the bottom of a well that is 35 m deep, is used to pump water uphill to a house that is 50 m above the top of the well, as shown above. The density of water is 1,000 kg/m3. Neglect the effects of friction, turbulence, and viscosity. (a) Residents of the house use 0.35 m3 of water per day. The day’s pumping is completed in 2 hours during the day. i. Calculate the minimum work required to pump the water used per day ii. Calculate the minimum power rating of the pump. (b) In the well, the water flows at 0.50 m/s and the pipe has a diameter of 3.0 cm. At the house the diameter of the pipe is 1.25 cm. i. Calculate the flow velocity at the house when a faucet in the house is open. ii. Calculate the pressure at the well when the faucet in the house is open.