Question

Suppose the average mass of raindrops is 3.0 × 10^-5 kg and their average terminal velocity 9 m s^-1. Calculate the energy transferred by rain to each square metre of the surface at a place which receives 100 cm of rain in a year.

Answer 1

Give : m = 3.0 × 10^-5 kg,

ρ = 1.0 × 10³ kg/m³

v = 9 m/s

A = 1m²

h = 100 cm ⇒ V = 1m³

M = ρV = 10³ kg,

Energy transferred by rain,

E = \(\frac{1}{2}\)mv² = \(\frac{1}{2}\) × 10³ × (9)³ = 4.05 × 10⁴ J.