A hydroelectric dam holds back a lake of surface area 3.0Ý106m2 that has vertica

Question

A hydroelectric dam holds back a lake of surface area 3.0Ý106m2 that has vertical sides below the water level. The water level in the lake is 150 m above the base of the dam. The density of water is 1000 kg/m3.

- How much total energy is stored in the lake? Take the gravitational potential energy to be zero at the base of the dam. (Hint: Break the lake up into infinitesimal horizontal layers of thickness dy, and integrate to find the total potential energy.) Express your answer using two significant figures.

Explanation / Answer

Volume = 3*10^6 x 150 = 450*10^6 m

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