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Suppose the average mass of raindrops is...

Suppose the average mass of raindrops is `3.0xx10^(-5)kg` and their average terminal velocity `9ms^(-1)`. Calculate the energy transferred by rain to each square metre of the surface at the place which receives 100 cm of rain in a year.

Text Solution

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Given , Mass `m = 3.0 xx10^(-5) kg , `
Demsity `rho = 10^(3) " kg " m^(-3)`
Velocity ` , v = 9 " m "s^(-1)`
Area , `A = 1 m^(2)`
Height , h = 100 cm = 1 m
Volume , `V = A xx h = 1 m^(2) xx 1 m = 1 m^(3)`
Mass of water due to rain , `M = V rho `
` 1 m^(3) xx10^(3) " kg "m^(-3)`
` = 10^(3)` kg
Therefore , energy transferred
`E = 1/2 Mv^(2)`
` = 1/2 xx 10^(3) xx9^(2)`
` = 4.05 xx10^(4)` J
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