Question

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 exerted by each drop on the head.

Answer 1

Answer:

The force exerted by each drop on the head is 1.8 N

Explanation:

Given:

Radius of a raindrop, r = 1 mm = 10⁻³ m

Mass of a raindrop, m = 4 mg = 4 × 10⁻⁶kg

Distance covered by the drop on the head, s = 10⁻³ m

Initial speed of the drop, v = 0

Final speed of the drop, u = 30 m/s

Using

a=v²-u²/2s, we get:

a=-30²/ 2×10⁻³

=-4.5×10⁵ m/s²

Force, F = ma

F = 4 × 10⁻⁶ × 4.5 × 10⁵

= 1.8 N

Answer 2

Answer:

1.8N

Explanation:

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