Hmm... I guess I am going to have to look at some of these references, cuz I r confused. ???
"it is force that is at work in incapacitation not energy"
Huh?
Force and energy are not separate things. Energy is required to make force, specifically, F=m*a, or Force = mass times acceleration. You need potential energy, in the form of gunpowder, converted to kinetic energy when it is burned, to produce the gasses that produce the acceleration.
I certainly believe that the energy contained in cartridge is not enough to knock anyone down, or otherwise every time I shoot I'd end up on my butt. If you pounded the bullet out flat enough to make a 4 foot square sheet, and sent it down range with the same energy (disregard air resistance for a moment), I expect all you would get is a sheet of lead or copper foil wrapped around your opponent. Wouldn't knock him down ( might distract him for a moment tho!).
However, there has to be enough energy to make the bullet exit the barrel, fly downrange, enter our felonious opponent, expand (maybe), and travel through his anatomy far enough to damage things like major blood vessels and the central nervous system.
Since the energy-- or force -- of the bullet is not enough by itself to knock someone down, you have to place it where it tears up something that will require the felonious one to go down, via loss of blood or destruction of CNS components. I think this is the key to incapacitation. You need enough energy (and accuracy) to make the bullet do this.
It does seem that when you move up to rifle velocities, you start getting effects that are not solely due to pushing a small hole through key parts of the body. Animals and people shot with rifles (in other than CNS locations) generally seem to be considerably less perky afterwards than those shot with handguns. Energy is certainly at the root of this -- whether it delivers such a shock to the nervous system, or is enough to disrupt (temporarily or permanently) key tissue away from the wound channel, I don't know. I am trying to think of who it was I read recently who said that 80% of those shot in the torso with a handgun round survive, but 80% of those shot with a rifle round don't. I am a little suspicious of the exact percentages, but I suspect this is ballpark correct. Consider that a lot of the .30 caliber rifle bullets don't weigh much more than handgun bullets, but their effects are certainly more substantial -- the difference is the energy with which they are driven. Of course with rifles you can get both more mass, and more energy -- and energy is a key part of the equation. Throwing a 400 grain bullet with your right arm is not as impressive as throwing it with a .45-70 Marlin.
Moving up the energy scale, when you shoot things with small amounts of material traveling at very high velocities, you do get some tremendously destructive effects. Kinetic energy penetrators --- a 2 or 3 centimeter (diameter) rod of tungsten or depleted uranium moving at something like 5000 feet per second --- are analagous to small arms rounds. Basically it's a high speed bullet. And they really tear up other tanks. I've been inside the turret of a tank that was shot with a KEP (that is-- I was in it AFTER it was shot!). Very ugly. Besides everything inside being absolutely torn up, there was molten steel embedded in shredded clothing that had been inside the turrent.
(And I believe that if you could hit someone with a feather at 10,000 miles per hour, they would not like it, but the trick would be getting the feather to survive the acceleration. Doubtful!)
Handgun rounds seem to function at level of force whose upper limit is so constrained by the small amounts of mass (bullet size/weight) and energy (amount of powder) that can be put into a handgun that the only terminal ballistic effect you can count on is punching a hole. Any "excess" energy is so little, compared to the size of a human, that it has no measurable effect. The only other variable you can fiddle with is the construction of the bullet itself (e.g. hollowpoints, lead, alloys, copper, whatever).
Like abninftr brought up, the psychological aspect of being shot at is a huge variable that doesn't seem dependent on energy, mass, or even being hit at all sometimes. That combined with all the variables in the shooting situation itself (e.g. barriers, clothing, fat/skinny/muscled people) do make mathematical formulas for incapacition very suspect.
elb