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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. |
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Answer» 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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