How Much Power Does Niagara Falls Generate?

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The discussion focuses on calculating the power generated by the falling water at Niagara Falls, where water flows at a rate of 1.1 million kg/s and falls 46 meters. The key concept is that the change in potential energy (PE) per second, determined by the mass flow rate, gravitational acceleration, and height, equates to the power generated. Participants emphasize that this change in PE translates into electrical energy. The problem-solving approach involves applying the formula for power derived from potential energy. Understanding these principles is crucial for accurately determining the power output of the falls.
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Can anyone help me with this problem? Thaak-you
Water flows over a section of Niagara Falls at the rate of 1.1 106 kg/s and falls 46.0 m. How much power is generated by the falling water?
I know that Power is work/time... but this problem is set up differently then I'm used to.
 
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Well (somebody correct me if I'm wrong!) ... when water falls from a high place, its potential energy decreases. For a waterfall, the change in PE per second is equal to the rate times acceleration due to gravity times the height. When converted into electrical energy, the power is equal to the change in PE. See if that works out for ya. :)
 
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