mainehunt wrote:
Let's consider an arrow that weighs 500 grains and flys at a speed of 200 FPS. You multiply 200 times 200 and get 40,000. You then multiply this times half the weight which is 250, and you get a VALUE of 10,000,000.
Now let's consider an arrow that weighs 300 grains, BUT flys 320 FPS. 320X320=102,400
Then multiply this 102,400 times half the weight (150) you get 15,360,000!
The problem with your logic is that if you have a bow that is shooting a 500 grain arrow at 200 ft/sec it will not shoot a 300 grain arrow at 320 ft/sec. it will only shoot it at 244.9 ft/sec which is a drop in KE of 4.4 ft/lbs.
ijimmy is on the money!
[Note: momentum added for Arthur P]