How much force is there in a bullet?
If you are asking about a bullet's ability to "shove" its target, then you are interested in its
momentum. I just described what momentum is: mass times velocity. The Carcano fired a 160 grain (10.37 gram) bullet at a muzzle velocity of about 2,000 feet/sec (610 meters/sec). Its muzzle momentum is therefore 6.32 kg m/s, and a little less when it reached JFK.
The importance of momentum is that it is
always conserved in any interaction (like a collision). So when a bullet hits a target, the combined momentum of the bullet and target must be the same as their combined momentum before impact.
A human head weighs about 5 kg. For the moment let's ignore the fact that it's attached to the body by a neck; this is valid for small movements of the head when the neck muscles are not tensed. Assume a Carcano bullet embeds itself in a stationary 5 kg head; no bullet fragments exit. The momentum of the incoming bullet was 6.32 kg m/s, so the combined momentum of the bullet and head after impact must also be 6.32 kg m/s. The velocity of the head, moving by itself without any restoring force from the neck, will then be 6.32 kg m/sec / (5 + .01) kg = 1.26 m/sec.
That's not very fast at all, about the speed of a vigorous nod. And that's just the head alone, not the whole body.
If any fragments of the bullet do emerge, as they did from JFK's head, they will carry out some of the bullet's original momentum instead of transferring it to the head, so the head will move even more slowly. The effect of the neck muscles will also act to reduce the head motion. Indeed, we see that JFK's head
does jerk forward a few inches between Z312 and Z313. This is exactly the motion we would expect to see as the bullet hits him from behind.
Now let's consider the effect of a bullet on the body as a whole. If the entire body has a mass of 75 kg, then shooting it (anywhere, not necessarily the head) with a Carcano will impart a velocity to the whole body of only 6.32 / 75 = .084 m/sec (84 mm/sec).
Again this very slow velocity is an absolute maximum that assumes the bullet comes to rest inside the body, transferring all its momentum. If any bullet fragments emerge, their momentum will not have been transferred to the body and it will move even more slowly. We're also ignoring any other external forces on the body; if the victim is sitting in a limousine seat, friction from the seat and arm rests will also tend to keep the body from moving.
You can see from all this that a bullet simply
cannot blow its victim's entire body violently backward, as seen so often in Hollywood movies (where it is in fact faked). The back-and-to-the-left motion of JFK's body seen in the Zapruder film could not
possibly have been caused by a bullet pushing on his head from the front. His motion had an entirely different cause, namely the sudden contraction of every muscle in his body when the bullet (from behind) destroyed his brain and sent massive neural impulses down his spinal cord. The stronger back and leg muscles dominated, resulting in the motion we see.