Answer to Question #72962 in Physics for Patty

Question #72962

A fountain propels 30 000kg of water per minute to a height of 140m. Calculate the power used in raising the water.

Expert's answer

dm/dt=30000 kg/min=30000/60 kg/s=500 kg/s
The power used in raising the water is
P=dW/dt=d/dt (mgh)=dm/dt gh.
P=(500)(10)(140)=700000 W=700 kW.

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