I don't see how you can say the paltry increase in KE is more important than the much larger increase in momentum when they are both attributes of the same arrow! It's a no brainer that the arrow will penetrate exactly the same amount as itself.
Arthur,
I was with ya every step until here buddy! NOWHERE did I say ke was more important. NOWHERE did I say momentum was more important. I have continuously said that ke and momentum are inseperable in archery. You are the one obssessed with trying to convince everyone that momentum is more important. I have continuously said that the argument is not even usefull. It amazes me how you continuely twist what I say and continuously miss the point.
IT IS A NO BRAINER that in this example they are both attributes of the same arrow. The point is that in the example the 17% increase in ke is of EQUAL importance as the 52% increase in momentum. Neither could be more important as you have so adroitly pointed out,
" It's a no brainer that the arrow will penetrate exactly the same amount as itself. " The increases in ke and momentum are in your words
"...they are both attributes of the same arrow". We finally agree! I think we agree most of the time but you seem to have a tendency to "invent" ways that we disagree. But of course saying the increase in ke in this case is "paltry" and the increase in momentum is "much larger" doesn't mean anything does it? The result is the same! Just for fun, let me twist your words a bit. You said that it only takes a "paltry" increase in ke to achieve the same increase in penetration as a "much larger" increase in momentum. Therefore momentum is less important. Now is that fair?
BTW, the sky is blue and white here today!
One last thing
KE is not a very good indicator of penetration potential. Momentum is.
KE is by definition the distance an arrow can push with a given amount of force. Momentum is by definition the time an arrow can push with a given amount of force. If you can find me an engineer who says that Ke is not a good indicator of penetration potential I will show you an engineer who flunked his mechanics course! Now I didn't say that KE was more important!!!! In fact in my opion both ke and momentum concerns are allmost foolish in light of broadhead desighn, sharpness, tuning etc...
I have a question. How far will an arrow carrying 0.6 pound seconds of momentum penetrate a material that resists penetration with a continuous force of 50 pounds? Answer is that it is not solveable without going back to velocity. You don't have enough information.
Another question. How far will an arrow carrying 50 ft/lbs kinetic energy penetrate a material that resists penetration with a continuous force of 50 pounds? Simple, Answer 1 foot!
But of course KE is not a very good indicator and momentum is! Obvously it all depends on what the question is.