Water is pumped from a lake to a large storage tank that is 15 m above at a rate of 70 L/s while consuming 15.4 kW of electric power. Disregarding any frictional losses in the pipes.

a. Starting from the conservation of energyequation in the units of Watts, simplify the equation for the case where you want to determinethe mechanical energy added to the water by the pump. Explain why you can eliminate each termyou would not need. The final form of the equation should be in terms of parameters given in a typical problem.
b. Calculate the overall efficiency of the pump-motor unit.

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