Water falls from a height of 60 m at the rate of 15 kg/s to operate a turbine. The losses due to frictional force are 10% of the input energy. How much power is generated by the turbine? (g = 10 m/s2)

8.1 kW 12.3 kW 7.0 kW 10.2 kW

8.1 kW

Energy : U = mgh Power : P = \(\frac{dU}{dt}\) = h g \(\frac{dm}{dt}\)  h = 60 m ; g = 10 m/s2 ; \(\frac{dm}{dt}\) = 15 kg/s P = 9000 W losses = 10 % Pnet = P - 10% P = 8100 W