The average flow rate in the niagara river is 6.0 × 106 10. kg/s, and the water drops 50 m over niagara falls. if all this energy could be harnessed to generate hydroelec- tric power at 90% efficiency, what would be the electric power output?

Explanation:

The power produced by the water falling down the Falls is

where

E = mgh is the potential energy of the water, with m being the mass, g the gravitational acceleration, h the height

t is the time

In this problem we have

us the mass flow rate

h = 50 m is the height

g = 9.8 m/s^2 is the acceleration of gravity

Substituting,

And since the efficiency is only 90%, the power output is

e

explanation:

there is no change in the electric potential energy as it is in rest on both conditions.

0.19 m/s and 0.45 m/s