A certain rain cloud at an altitude of 1.80 km contains 3.20 107 kg of water vapor. How long would it take for a 2.93-kW pump to raise the amount of water from Earth's surface to the cloud's position?

Explanation:

The potential energy contained in the mass of water by using the equation for gravitational potential energy, G.P.E = mass x height x acc. due to gravity.

E = 3.2 x 10^7 × 1.80 x 1000 × 9.81

= 5.65 × 10^11 J

Power = Work done/time taken

2.93 × 10^3 = 5.65 × 10^11/t

T = 5.488 10^11/2700

= 1.93 × 10^8 s.

Time taken, t = 1.93 × 10^8 s

= 6.12 years.

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