5) Water from a reservoir flows through a pipe of 0.2 m2 cross-sectional area into a 1.4MW pump. (Note: W = N-m/s) where it is pumped over a mountain range

and discharges to another reservoir at the same elevation. A turbine is used to recover some of the energy and generates 1.1 MW of power. The head loss through the piping system is proportional to the kinetic energy of the flow as hL= 12v2/2g. Find the flow rate in the system, Density of water is 999 ka/m3