A pump is used to transfer water at 70 F (p = 1.94 slug/ft; v = 1.05 x 105 ft/s) from one large reservoir to a second large reservoir. Both reservoirs are open to the atmosphere, and the water level of the second reservoir is elevated 20 ft from that of the first. The piping system consists of 60 ft of galvanized iron pipe ( = 0.0005 ft) with inner diameter of 2 in, with two flanged 90 smooth bends (each with K = 0.3), an open gate valve (K = 0.2), and the pump positioned between the two reservoirs. The entrance from the first reservoir to the pipe and the exit to the second reservoir are both sharp-edged. The volumetric flow rate of water through the piping system is a constant 0.4 cubic feet per second. a) What is the total head loss (in feet) due to major and minor losses? [6 marks] b) What is the required pump head (in feet)? [2 marks] c) What input horsepower is required to the pump if the efficiency of the pump is 70%? [2 marks] Note: 1 horsepower = 550 lb-ft/s