A reservoir supplies water for a city, as sketched below: RESERVOIR 9 18 m PUMP 77 m 68 m TANK The system provides a flow rate, Q, of 1250 L/s of room temperature water. The pipeline between the primary reservoir and the city storage tank has the following characteristics: * A sharp-edged entrance at the inlet and a sharp-edged exit at the outlet * A total length, L, of 835 m between the inlet and outlet * A constant diameter, D, of 762 mm * Two regular, flanged 90 elbows and two gate valves for flow control. (Assume that the valves are fully-open at design conditions.) * A smooth, plastic wall surface A pump placed in-line to provide additional flow. a. What is the friction factor, f, in the pipe? b. What are the minor pressure losses, Apmin, in the system? c. Is the pump needed in this system? Justify your answer.