Water flows over a section of Niagara Falls at the rate of 1.4 * 106 kg/s and falls 49.8 m. How much power is generated by the falling water?

Power = 6.84*10⁸ W

Explanation:

Given Data

Niagara falls at rate of=1.4*10⁶ kg/s

falls=49.8 m

To find

Power Generated

Solution

Regarding this problem

GPE (gravitational potential energy) declines each second is given from that you will find much the kinetic energy of the falling water is increasing each second.

So power can be found by follow

Power = dE/dt = d/dt (mgh)

Power = gh dm/dt

Power = 1.4*10⁶ kg/s * 9.81 m/s² * 49.8 m

Power = 6.84*10⁸ W