Raindrops
Raindrops of radius 1 mm and mass 4 mg are falling with a speed of 30 m/s on the head of a bald person . The drops splash on the head and come to rest . Assuming equivalently that the drops cover a distance equal to their radii on the head , estimate the force[in Newtons] exerted by each drop on the head .
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1 solution
Mass of raindrops = 4*10^-6 Kg
Speed(Velocity) = 30 m/s
Deceleration:
v^2 = u^2 + 2as
0 = 900 + 2a*1/1000
-a/500 = 900
a = -450000 m/s^2
Force = Mass * acceleration = 4/1000000 * 450000 = 180 * 10^-2 = 1.8 N