Now it's fine to come up with theoretical examples like "equalizeing" KE between 2 arrows to make a point but of course you must also accept that by chainging arrow weights it is impossible for this to happen for a given archer.
I don't know why that would be impossible. I alway shoot at a draw weight that is well below my maximum draw capacity.
The context of my statement is that you are established with your draw weight. Like I said before, an archer should shoot as much weight as he/she is physically able to handle accurately. IMO it makes no sense to shoot less than that. Arbitrarilly lowering your draw weight simply gives away energy for no good reason. Thats what I meant when I said a given archer. So in this context, the only influence the archer has over KE and momentum is by changing arrow weight. When changing arrow weight, both KE and momentum move up and down together so it is therefore impossible to "equalize" KE and make momentum move simply by changing arrows. Of course it would be possible to put on a heavier arrow thereby increaseing both momentum and KE and then lower your draw weight which would lower both ke and momentum and because
KE, unlike changes in arrow weight,
changes at a faster rate than momentum with draw weight you could find the point where you have held KE equal and raised momentum relative to your prior conditions. This is what I would call a theorectical example. If you are comfortable shooting the weight you are at, it would make absolutely no sense to back it off and loose on energy and momentum too.
All I'm really saying is, in a situation where a person wants more penetration and they have already paid attention to factors like blade design & sharpness, FOC and arrow stiffness, they would be better off concentrating on improving factors (weight) that are favorable to higher momentum measurements, rather than things (speed) that are favorable to higher K.E. measurements.
All I'm really saying is that for all practical purposes the archer can not favor momentum over ke or ke over momentum. He can only change the weight of his arrow which makes them both go up and down with the results being increasing or decreasing penetration potential. It really doesn't make any difference to the archer if he puts on a heavier arrow, penetration goes up say 5%, ke goes up 1% and momentum goes up 5000%. The result was some increase in penetration. If he puts on a lighter arrow he looses penetration potential. The rate a which 2 numbers that he has basically no independent control over is of no importance.
BTW, did you agree regarding the % differences between ke and momentum when changing arrow weight or do you still maintain that...
Since momentum is increased at a greater rate, it has to have more importance than a factor that is increased by a lesser rate.