Water flows in a horizontal constant-area pipe; the pipe diameter is 75 mm and the average flow speed is 5 m/s. at the pipe inlet, the gage pressure is 275 kpa, and the outlet is at atmospheric pressure. i)determine the head loss in the pipe. ii) if the pipe is now aligned so that the outlet is 15 m above the inlet, what will the inlet pressure need to be to maintain the same flow rate? iii)if the pipe is now aligned so that the outlet is 15 m below the inlet, what will be the inlet pressure need to be to maintain the same flow rate? iv) how much lower than the inlet must the outlet be so that the same flow rate is maintained if both ends of the pipe are at atmospheric pressure (i. e., gravity feed)?