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A hydroelectric power facility (see Figure 7.38) converts the gravitational potential energy of water behind a dam to electric energy. (a) What is the gravitational potential energy relative to the generators of a lake of volume $50.0\textrm{ km}^3$ ( mass = $5.00 \times 10^{13}\textrm{ kg}$), given that the lake has an average height of 40.0 m above the generators? (b) Compare this with the energy stored in a 9-megaton fusion bomb.
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Hydroelectric facility (credit: Denis Belevich, Wikimedia Commons)
Hydroelectric facility (credit: Denis Belevich, Wikimedia Commons)
Question by OpenStax is licensed under CC BY 4.0.
Final Answer
  1. $1.96\times 10^{16}\textrm{ J}$
  2. $0.52$
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OpenStax College Physics Solution, Chapter 7, Problem 16 (Problems & Exercises) (1:26)

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