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by elteto
5040 days ago
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You are working with the wrong concept, m * v is momentum, not impulse. Impulse would be equivalent to the change in momentum over time [1]. Actually 5 lbs falling at 30 mph would probably crush a human skull or at least crack it open. It is easy to see why from the equations: F * delta t = m * delta V, therefore
F = m * delta V / delta t This means that the force generated in the impact is inversely proportional to the time of the impact. Since the skull is pretty hard, we can say that the impact time will be very short, probably in the order of 1e-2 seconds. Such a sudden change in velocity, from 30mph to 0mph in 1e-2 seconds, generates a big force, and therefore a big impulse. [1] http://en.wikipedia.org/wiki/Impulse_%28physics%29 |
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Also, F = m * delta V / delta t is only valid if force is constant in this context. I would expect acceleration to vary during the course of the impact so this relation would likely not hold [EDIT] in terms of determining damage I mean.