Originally posted by: drpootums
Originally posted by: skyking
Originally posted by: Matthias99
Originally posted by: TuxDave
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However, the kinetic energy of a ballistic projectice is still considerable. At close range, you're talking 1500-3000 ft-lbs of energy (about 2000-4000 newton-meters) for an assault rifle. That's enough energy to accelerate a 100kg mass (like, say, a soldier) to 6-9 m/s (~15-20mph). Admittedly, not all of the energy is turned back into KE (some is wasted in fracturing the bullet and/or the strike plate, dispersed as heat and sound, etc.), and I have no idea how big that fraction is. But that's a *lot* of impact force, even spread over your whole torso. Low-caliber bullets (which have a much lower velocity) wouldn't be that bad, but to absorb an impact like that and not be (at the very least) knocked down, you'd have to be wearing significantly more massive armor.
Are you sure about your energy figures? Where does the energy come from?
I figure that energy has to act against the fellow holding the gun, and even moreso. The bullet is at it's maximum velocity as it exits the barrel.
Those energy figues are correct. The energy from a 30-06 is about 3000-3100 ft-lbs, and the energy from the .223 (m-16) and the 7.62x39mm (ak-47) are about 1500-1800 ft-lbs. The person shooting the gun isnt going to get that kind of energy put on him just because the energy is escaping (both out the barrel and through the reciever when the slide opens).
I am not sure about how you are figuring the energy effects, but I know the conclusion is absurd, so I suspect you have dropped a couple of zeros somewhere.
If you disregard force being dissipated into fracturing armor, heat etc, then it becomes an extremely basic exercise in conservation of momentum.
A bullet weighing 10g travelling at 850m/s hitting a 100kg man who is at rest will end up with both of them together moving at a rate that is determined by :
Vf =(M1V1+M2V2) / (M1+M2)
Or in this case (0.01kg x 850m/s + 100kg x 0m/s ) / (0.01kg + 100kg ) = 0.08 m/s, so the original poster is off by a factor of roughly 100, which I believe he acknowledged a couple of posts further down...
Of course, a typical soldier isn't an inelestatic body, however the above is a *best case* scenario given that the deformation of the armor, bullet, and/or soldier decrease the final velocity.