Question

A Cluster of clouds at a height of 1000m above earth burst and enough rain fell to cover an area of 106m2 with a depth of 2 cm. how much work have been done in raining water to the height of clouds

Answer 1

HELLO DEAR,

GIVEN:- A Cluster of clouds at a height of 1000m above earth crust and enough rain fell to cover an area of 106m2 with a depth of 2 cm. how much work have been done in raining water to the height of clouds.

SOLUTION:- height of cloud above the earth crust = 1000 m

Total volume of water which is rain

= Area of total ground of rain × height of rain water.

=( 106 × 0.02) m^3

= 2.12 m^3

So, mass of 1 m^3 water at standard condition = 1000kg

Therefore mass of 2.12 m^3 water

=( 2.12 × 1000) kg

= 2120 kg..

Therefore work done for rain is = potential energy of water at height of given.

= mgh

Where m= mass of water

g = gravitation acceleration

h = height of cloud

= 2120 × 9.8 × 1000

= 20776000 joul. energy is required.

I HOPE IT'S HELP YOU DEAR,

THANKS.