A certain rain cloud at an altitude of 1.90 km contains 3.20 ✕ 107 kg of water vapor. how long would it take for a 2.83-kw pump to raise the amount of water from earth's surface to the cloud's position?

time taken by the pump to raise the amount of water from earth's surface to the cloud's position = 210544170 seconds

Explanation:

power = work done / time taken

Here work done = change in the potential energy of the cloud

power = 2.83 KW = 2.83 (1000) = 2830 W

potential energy = m g h

m = mass of rain cloud = 3.2 x 10⁷ kg

h = height=1.9 km = 1900 m

so potential energy = (3.2 x 10⁷) (9.8) (1900) = 5.96 x 10¹¹ J

so work done=5.96 x 10¹¹ J

now power = work done / time taken

2830=5.96 x 10¹¹ / t

t=210544170 seconds