Water flows over a section of Niagara Falls at the rate of 1.1 * 106 kg/s and falls 50.0 m. How much power is generated by the falling water? The acceleration of gravity if 9.81 m/s 2. Answer in units of W.

5.395 * 10^8 Watts

Explanation:

We are given;

Rate of flow is 1.1 * 10^6 kg/s Distance is 50.0 m Gravitational acceleration is 9.8 m/s²

We are required to calculate the power that is generated by the falling water

Power is the rate of work done It is given by dividing the energy or work done by time Power = Work done : time

But; work done = Force * distance

Therefore;

Power = (F * d) : time

The rate is 1.1 * 10^ 6 Kg/s

But, 1 kg = 9.81 N

Therefore, the rate is equivalent to 1.079 * 10^7 N/s

Thus,

Power = Rate (N/s) * distance

= 1.079 * 10^7 N/s * 50.0 m

= 5.395 * 10^8 Watts

The power generated from the falling water is 5.395 * 10^8 Watts