...but it may not be telling the whole truth, either. I estimate the tip of a bull whip at 1 gram...or 0.001 kg. The 'crack' means it's moving at the speed of sound... ~343 m/s. Punching that into your equation:
0.001kg x 343m/s^2 / 2 = ~ 59 Nm
...so we should really be using a bull whip to split wood? Clearly not, so there must be more to the story besides just kinetic energy.
Absolutely, so I used this analogy with the bullet, because it might be easier for people to understand the impact of speed vs mass in the energy math.
My .02... if you're splitting pine, fir, etc, then a light weight axe might save some of the work wasted with a heavier axe.
That is one of the main reasons to use a lighter tool, it will increase endurance and productivity.
Each person has its own capability to generate speed and/or lift and handle different sized mass of the head. I do not say one person can generate more energy with a 8-10 lbs maul than an 4lbs axe.
But if you can't split the wood easily, then multiple swings with the light tool quickly offset any 'savings' and you're likely better off going with something a bit heavier.
Only if you can generate more impact energy with the heavier tool
[/quote]This is usually the way it seems to break down in the real world, too ...pine/fir/spruce guys marveling at the light weight splitting axes for how well they work. Those of us splitting hard woods, anything which isn't perfectly straight, or may have a cross branch know you need the inertia of a heavy tool to drive through the wood.[/quote]
I admit, that I only split Douglas Fir and occasionally Western Hemlock. And Fir is generally a pretty easy split.
But if you do better with a heavier maul on your hardwood, it is because you are able to generate the same speed with the maul as with the axe. Or I can say, you are not able to increase your speed with the lighter axe...
As I said earlier to Woody Stover, it is easier to within a limited time frame (1-2 seconds for a swing), to push an axe head up to 30 ft/sec than a maul head. Or I can say within a limited time, with teh limited force you can apply, you can acellerate the axe faster than the maul. That's just the law of nature.
But 92 year old Bernie at the golf course, might benefit from a heavier club head, because he just can not generate a high-speed swing, no matter how light his club is.