raindrops of radius 1mm and mass 4mg are falling with of 30m/s on 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 an the head,estimate the force exerted by each drop on head.

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raindrops of radius 1mm and mass 4mg are falling with of 30m/s on 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 an the head,estimate the force exerted by each drop on head.

MIT 8.01 Physics I Classical Mechanics, Fall 1999
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we will use f=ma to solve this problem. the velocity of the drop before contact is 30m/s. according to your description, the drop goes from 30m/s to 0m/s when it hits the head, and this happens in a distance of one radius, ie 1mm. 1) use kinematics equations to solve for the acceleration given v0=30, vf=0, and d=1. 2) use f=ma, given mass (4mg) and acceleration found in part (1) to find the force required to cause such an acceleration. if you do not know where to go with the kinematics equations, repost!
the answer is 120 newtons
JK it actually is 1.2

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JK
9.8 multiplied by 0.001 which is 0.098 newtons

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