Raindrops of raidus 1mm 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 equivaletly that the drops cover a distance equal to their radii on the head, estimate the force exerted by the each drop on the head.

Explanation

To solve the problem step by step, we will follow the principles of physics, specifically using the equations of motion and Newton's second law.

### Step 1: Identify the given data
- Radius of the raindrop, \( r = 1 \, \text{mm} = 1 \times 10^{-3} \, \text{m} \)
- Mass of the raindrop, \( m = 4 \, \text{mg} = 4 \times 10^{-6} \, \text{kg} \)
- Initial velocity of the raindrop, \( u = 30 \, \text{m/s} \)
- Final velocity of the raindrop after splashing, \( v = 0 \, \text{m/s} \)
- Distance covered by the raindrop while coming to rest, \( s = r = 1 \times 10^{-3} \, \text{m} \)
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