I take enough flak for engineering, I assumed the 8th grade physics explication was sufficient - hence the part where I mention “(arbitrarily chose) to reduce gas velocity by 25% (net). Because The impulse is all calculable, IF a guy assumes simplified deceleration or simply work in the macro scale with the gross FRE. Which we know it isn’t simple (linear or instantaneous) it’s variable - the inherent problem with any FRE calculation - the impulse makes a big difference. With Quickload, a guy can approximate bore time, and get an idea of the recoil acceleration, but that’s before it hits the can... or a guy can be happy with some approximation which gets pretty dang close by using “familiar physics.” Probably my least favorite part of the job, but likely the thing I’ve done best professionally - simplifying the complex enough to manage stakeholders, without misleading... The water is plenty muddy for some folks when we start talking algebra, I TRY to stay somewhat, moderately mindful of that...
Empirically, we’ve seen cans brake FRE somewhere between 20 and 30%, so I picked a 1lb can, worked backwards, and arbitrarily assigned 25% net velocity to get me to a net between 20-30% in the momentum reduction...
Not so different than the 1.75 scalar SAAMI et al assign to the ratio of propellant gas to projectile. “Good enough for gubment work”