A cluster of clouds at a height of 1000m above the earth burst and enough rain fell to cover an area of `10^(6)m^(2)` with a depth of 2cm. How much work would have been done in raising water to the height of clouds ? Take `g=10m//s^(2)` and density of water `10^(3)kg//m^(3)`.

Explanation

Here, `h=1000m, A=10^(6)m^(2),`
`d=2cm=2xx10^(-2)m`
`rho=10^(3)kg//m^(3),g=10m//s^(2)`
Mass of water `=(Axxh)rho`
`=10^(6)xx2xx10^(-2)xx10^(3)`
`=2xx10^(7) kg`
Work done `=` force `xx` distance
`=` wt. of water `xx` height `=` mgh
`=2xx10^(7)xx10xx1000`
`=2xx10^(11)J`