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 f
alling water? The acceleration of gravity if 9.81 m/s 2 . Answer in units of W.
1 answer:
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Answer:</h3>
5.395 × 10^8 Watts
<h3>
Explanation:</h3>
<u>We are given;</u>
- 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
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
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