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Why does a child feel more pain when she falls down on a hard cement floor, than when she falls on the soft muddy ground in the garden?

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From the formula ‘F = ma’, we can tell that if mass is kept constant then acceleration ‘a’ should be decreased for a system to decrease force.

Now, a= \frac{v-u}{t} , for a falling body, initial velocity will be u and final velocity will be 0. The acceleration and force will decrease, if the time during hitting is increased. Pain acts on a person when he/she falls on a cemented hard floor as the time to stop after fall is very small, whereas, after falling on a soft floor he/she sinks in the ground and takes more time to stop.

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