Answer to Question #724 in Mechanics | Relativity for Brian

Question #724
A rain cloud contains 3.36 × 107 kg of water vapor. The acceleration of gravity is 9.8 m/s2 . How long would it take for a 3.6 kW pump to lift the same amount of water to an altitude of 17000 m? Answer in units of years.
1
Expert's answer
2010-10-05T09:58:44-0400
The total work of lifting same amount of water is:
A=m*g*h=33,600,000*9.8*17,000=177.5kW*year.
And this work is equal to power*time:
A=W*t => t=A/W=177.5/3.6=49.3 years

Answer 49.3 years

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