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Potential Energy and Energy Conservation

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A hydroelectric dam holds back a lake of surface area that has vertical sides below the water level. The water level in the lake is a height above the base of the dam. When the water passes through turbines at the base of the dam, its mechanical energy is converted into electrical energy with n efficiency.

1. If gravitational potential energy is taken to be zero at the base of the dam, how much energy is stored in the top meter of the water in the lake? The density of water is Pwater.
Take free fall acceleration to be g.

2. What volume of water must pass through the dam to produce an amount of electrical energy totaling U of electrical energy?

3. What distance does the level of water in the lake fall when this much water passes through the dam?

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Solution Summary

This solution answers water energy, volume and distance problems.

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