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.

Question

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. (A)  (B)  (C)  (D)

Tardigrade Admin · Accepted Answer

ρ=103 kg / m 3, v=8 m / s A=1 m 2 ; h=100 cm ⇒ V=1 m 3 M=ρ V=103 kg ∴ E=(1/2) M v2 =(1/2) × 103 ×(8)2 =32 × 103 J

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

$ρ = 1 0^{3} k g / m^{3}, v = 8 m / s$
$A = 1 m^{2}; h = 100 c m$
$\Rightarrow V = 1 m^{3}$
$M = ρ V = 1 0^{3} k g$
$∴ E = \frac{1}{2} M v^{2}$
$= \frac{1}{2} \times 1 0^{3} \times (8)^{2}$
$= 32 \times 1 0^{3} J$

Q. Suppose the average density of raindrops is 1000kg/m3 and their average falling velocity is 8ms−1. Calculate the energy (in kJ ) transferred by rain to each square metre of the surface at a place which receives 100cm of rain in a year.

ρ=103kg/m3,v=8m/s A=1m2;h=100cm ⇒V=1m3 M=ρV=103kg ∴E=21​Mv2 =21​×103×(8)2 =32×103J

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

$ρ = 1 0^{3} k g / m^{3}, v = 8 m / s$
$A = 1 m^{2}; h = 100 c m$
$\Rightarrow V = 1 m^{3}$
$M = ρ V = 1 0^{3} k g$
$∴ E = \frac{1}{2} M v^{2}$
$= \frac{1}{2} \times 1 0^{3} \times (8)^{2}$
$= 32 \times 1 0^{3} J$