Question

Water flows over a section of Niagara Falls at the rate of 1.2 x 10^6 kg/s and falls 50.0 m. How much power is generated by the falling water?

Answer 1

The power generated by the falling water is
`5.88 * 10^(8)` W

Step-by-step explanation:

Given:

Water falls rate
`(m)/(t) = 1.2 * 10^(6)`
`(kg)/(s)`

Height
`h = 50` m

Power is given by energy transferred per unit time,

Here, energy transferred is potential energy.

`P = (mgh)/(t)`

`P = 1.2 * 10^(6) * 9.8 * 50`

`P = 5.88 * 10^(8)` W

Therefore, the power generated by the falling water is
`5.88 * 10^(8)` W