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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 average mass of rain drop=`(m)=3.0xx10^(-3)xxkg`
Average terminal velocity`=(V)=9m//s.`
Height(h)=100cm-1m
Density of water `(rho)=10^(3)kg//m^(3)`
Area of the surface(A)=`1m^(2)`
Volume of water due to rain(V)=`"Area"xx"height"`
`-Axxh`
`=1xx1=1m^(3)
Mass of the water due to rain (M)=`"Volume"xx"densitt"`
`=Vxxrho`
`=1xx10^(3)`
`=10^(3)kg`
Energy transferred to the surface=`(1)/(2)mv^(2)`
`(1)/(2)xx10^(3)xx(9)^(2)`
`=40.5xx10^(3)J=4.05xx10^(4)J`
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