Well, we do get the weight of at least 1 ME firearm (M-98 Widow is 39kg) and the weight of a typical sand grain (roughly 4.4mg) though we don't know the density of the materials that ME bullets are made from, so it could be higher. The recoil of that weapon is said to be at the limits of tolerance for the human bone structure (similar to some lightweight "elephant guns" firing massive cartridges like the .577 Tyrannosaur or .700 Nitro), so from that one could make a very rough estimate of free recoil number and convert it to kinetic energy. This is before accounting for fictional technologies like "kinetic dampening" systems or whatever, but suffice it to say that if a weapon that weighs 3x as much as a modern .50 BMG antimaterial rifle yet produces more recoil, it presumably produces much more kinetic energy (at least going by a passing application of Newton's 3rd law).
However, this wouldn't help it kill anything any better if the projectile is incapable of transferring energy effectively or even retaining any energy at all past very short range, which a tiny projectile would have huge problems with due to the atrocious ballistic coefficient.
This has been a controversial topic in the physics community for a while now. According to Newton Rail Guns or Gauss Guns for that matter would have recoil and that would be the same amount of force as it is on the slug itself. Problem is now, they tried to measure Rail Guns recoil on US navy ships and as evidence would suggest they found none. I haven't found anything solid on why this is, some say it's not been properly measured others say the energy gets dissipated in some other form (name heat) If you wish to know more I'll find the corresponding articles again.





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