1. Tardigrade
  2. Question
  3. Physics
  4. Suppose the average density of raindrops is 1000 kg / m 3 and their average falling velocity is 8 m s -1. Calculate the energy (in kJ ) transferred by rain to each square metre of the surface at a place which receives 100 cm of rain in a year.

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Q. Suppose the average density of raindrops is $1000\, kg / m ^{3}$ and their average falling velocity is $8\, m s ^{-1}$. Calculate the energy (in $kJ$ ) transferred by rain to each square metre of the surface at a place which receives $100\, cm$ of rain in a year.

Work, Energy and Power

Solution:

$\rho=10^{3} \,kg / m ^{3}, v=8 \,m / s$
$A=1\, m ^{2} ; h=100\, cm $
$\Rightarrow V=1 \,m ^{3}$
$M=\rho V=10^{3} kg$
$\therefore E=\frac{1}{2} M v^{2}$
$=\frac{1}{2} \times 10^{3} \times(8)^{2}$
$=32 \times 10^{3} \,J$