A pump, submerged at the bottom of a well that is 35m deep, is used to pump water uphill to a house that is 50m above the top of the well, as shown...

A pump, submerged at the bottom of a well that is 35m deep, is used to pump water uphill to a house that is 50m above the top of the well, as shown above. The density of the water is 1000 kg/m3. All pressures are gauge pressures. *top of well pipe to house angle = 30 degrees*Residents of the house use 0.35 m3 of water per day. The day’s pumping is completed in 2 hours during the day.a) Calculate the minimum work required to pump the water per day.b) Calculate the minimum power rating of the pump.The average pressure the pump produces is 9.2x105 N/m2. Within the well the water flows at 0.50 m/s and the pipe has a diameter of 3.0 cm. At the house the pipe diameter is 1.25 cm.c) ( Calculate the flow velocity when a faucet in the house is open.d) Calculate the pressure in the pipe near the faucet at the house.?