A dam is used to block the passage of a river and to generate electricity. Approximately \( 5.73...

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A dam is used to block the passage of a river and to generate electricity. Approximately \( 5.73 \times 10^{4} \mathrm{~kg} \) of water fall each second through a height of \( 19.6 \mathrm{~m} \). If one half of the gravitational potential energy of the water were converted to electrical energy, how much power would be generated?
(A) \( 5.50 \times 10^{6} \mathrm{~W} \)
(B) \( 1.10 \times 10^{7} \mathrm{~W} \)
(C) \( 2.70 \times 10^{9} \mathrm{~W} \)
(D) \( 1.35 \times 10^{9} \mathrm{~W} \)
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