Before I retired, I was the only officer on the 240+member force that owned or even knew what a chronograph was.
For many years my state (Georgia) had a 500ft/lb energy requirement, and at least a .357mag minimium w/6" bbl and adjustable sights. I only made a half dozen "illegal ammo/weapon" charges in over 20yrs. Most were for FMJ ammo, where hunter was known and "knew better". One involved a complete penetration of a deer, and hit landowners house (hunting w/o permission also, no license, ect...... you get the picture!!! FMJ from AKS.......)
Now, after a fellow academy graduate who has a Master's degree in Game Mgt., and was on the pistol team is the director...... Law has been changed to something enforceable....... (.22cf or larger w/ expanding type ammo....) I wrote the reg's on rimfire (.17cal or larger "RIMFIRE" for "small game"....)
Use something "recognizeable" or state/imply that it is such. If approached/checked by an officer/agent, tell him that It's (headstamp should reflect this) that its XYZ load, or facsimile and yeilds XXXft/lbs.
If everything else is compliant, he'll most likely accept your explanation.
Just have your "ducks in a row"...............(licenses, permits, tags, written permission, flourscent orange clothing worn, ect.)
Energy dosen't kill anyhow, it's bullet construction and shot placement.........
assuming sufficient velocity to do the job...........
A close friend used one of my .45Colt loads (975fps from pistol, 1,225 from Rifle w/255gr FN cast) to kill a 110lb doe in November. Frontal chest entry, and exited opposite ribcage with .45" hole through about 18" of deer. Bled out before hitting ground approx. 45yds from site of shot. Very dead deer! Only about 400ft-lbs from handgun, about 550ft-lbs from rifle. Enough to kill a steer however.....
The "gravity function" is to convert units. As others have stated, Kg is a "mass" measurement, POUNDS is a "gravity" function.
My formula is"
Velocity squared X Bullet wt in Grains / 450,240 (64.32 x 7,000) = E
Converts grains to lbs, and Newtons to lbs,...........