QUOTE (AllTheNothing @ Jan 2 2009, 03:26 PM)

F=MA actualy, what do you mean with "going total"?
Tachi sorry to bother you but is it true that the bullet leaves the muzzle before the recoil is felt? If so, how does it come that way?
The operative equation here is momentum, which is equal to mass times velocity, P=M*V. But you are also right that F=MA (newton's second law) is extremely relevant to this discussion.
QUOTE
I never got past AP physics, so I never learned about magnetism, but it strikes me as weird that there would be recoil. Like, if a projectile was hovering within a magnetic field, and then I used the magnetic field to fling it, wouldn't there be 0 recoil? There is an equal and opposite reaction, but it's between the projectile and the magnetic field, not whatever surface the magnet is anchored to... right?
No really this is Physics 101 stuff. Newtons 3 laws and Thermodynamics, concervation of energy and all that.
What it all boils down to is rather simple. If a projectile leaves a gun with 20 N*s of momentum, the gun will be thrown backwards with 20 N*s of momentum. The method this is done with is entirely irrelevant, be it gunpowder, magnetism, or rubber bands. Guass weapons are not immune to this effect.
But that is when we look at the firing event as a whole, which is simplistic (if mostly correct) way of looking at it. In reality that bullet is not accelerated instantly but over some time. And in the same fashion the gun is not thrown back instantly, but over some time. If we look at the rate at which this momentum is generated N*s/s we get... tada! Force! And AllTheNothing is correct that there are limits to the amount of force a human can withstand, and increasing the velocity of a round also increases the necessary acceleration and thus the force (because as he said, F=M*A).
Lets evaluate a test sample to see how this might play out.
A conventional .45ACP round might mass 12g, and exit at 320m/s giving it a KE of ~600J. And a momentum of ~4N*s. Now if our .45 has a 12cm barrel it must accelerate at (at least) ~430km/s
2 or ~43,000Gs. And it will take it about .75ms to do it. Plugging this back into our force equation, we find out that the average force on the wielder is ~5.3kN. In reality the peak acceleration will be worse than this, as (unlike most railguns) a handgun does not accelerate it projectile evenly, but this figure will do for now (you can get tables on this stuff if you want).
Now let us assume we are designing a rail-gun that fires a .45 like round. Except it weighs 1/3 as much, and moves three times as fast. That is, 4g and moving at 960m/s (assuming same density and shape our projectile might be ~8mm/.3in). The momentum of this round will stay the same, ~4N*s, but the KE will be much greater ~1800J. If the length of our barrel (12cm) remains constant, then the round will have to accelerate faster to reach that higher velocity, or about ~3,800km/s
2 or ~390,000Gs (a heck of a lot, but a lump of lead can handle it). Taking .25ms (what do you know 3 times as fast, 1/3 the time!). Which results in 16kN, which is (ta-da!) 3 times as much.
Which proves a simple principle, if the momentum and acceleration distance are held constant, then the force of recoil is proportional to a bullets velocity.
However, while this above is correct, it is also simplistic as there are some very simple things gun designers can do to adjust these forces felt by the weilder. For example by installing a spring to lengthen the amount of time a weapon recoils, which is often part of the reloading action for firearms. As noted above the acceleration of firearms will very greatly within this, with peak acceleration often being 3 (or more) times greater then the average, due to the nature of their action. The smooth even recoil of a railgun may in someways be an advantage, especially when it comes to accuracy.