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
