Spidy, your missing a lot of my point and a lot of how momentum and kinetic energy is transfered. Your only considering half of the equation/theory. I agree with your first half of your post up until you try to explain what is happening with the balls colliding. Kinetic energy is comprised of an objects momentum. Momentum is mass x velocity and kenitic energy is 0.5 x mass x velocity squared. You cant predict final velocity of two obkects colliding without considering momentum AND kinetic energy. Its called conservation of linear momentum and elastic collision and it uses both momentum and kinetick ernergy.What-the-he!! does that have to do with what we were talkin' about??
He's talkin' about two separate masses, both in motion, powered by the same force, at the same time, and during the same time frame‼
At 3 minutes in, he says energy is the product of force times distance... that's true. But in the case of our billiard balls, the force is applied to only one ball, by the cue stick, and for only a short (very short) distance. As the cue ball glides across the table, there is no force applied to it (or, more correctly, work being done on it)... it is momentum that carries it across the table. The distance (or time) it glides across the table is not part of the equation... period‼
When the cue ball strikes the stationary ball, the force of momentum pushes on the stationary ball for very brief moment in time and/or distance (and the stationary ball pushes back with it's momentum of zero). Now, remember, force is not energy... energy expended (work) is the product of force and distance (which may, or may not be, measured by time), which is equal to the (in this case) kinetic energy (W=Fd=Ek). With the billiard balls, the principle of Conservation of Momentum applies, the momentum of one is transferred to the other, the stationary ball has zero momentum before the collision, but acquires the momentum of the moving ball after... and the moving ball acquires the zero momentum of the other.
So let's go back to the 3 ounce ball moving at 40 FPS striking the stationary 6 ounce ball. If the strike is square, the 6 ounce ball moves away from the collision at (almost) 20 FPS because the force acting (working) on it is the momentum... energy is not force, but momentum is. The kinetic energy that the 6 ounce ball acquires is the product of force (momentum) and distance (or time), the kinetic energy of the moving ball is not part of the equation... period‼ Which is exactly what was stated 3 minutes into your video. And the striking ball?? Well, the force acting (working) on it at the collision was the momentum of the stationary ball (zero momentum)... and the product of zero force and anything equals zero kinetic energy. Also exactly what was stated 3 minutes into your video.
Now I know I said that kinetic energy didn't really exist, but that's not entirely true... I was playing with words to make a point. Kinetic energy is a scalar quantity, not a vector like momentum... kinetic energy has no directional force (it ain't a force at all). And if energy, no matter its form, can not be created nor destroyed, and only half of the energy possessed by the 3 ounce ball was transferred to the 6 ounce ball... where did the other half go?? Well the other part of that physics law is that energy can be converted... the other half of that kinetic energy was converted into several forms, such as sound energy, heat energy at impact, vibration, and whatnot. There ain't any such thing as a truly "closed system" (on this planet anyway)... there will always be loss of energy through conversions, as well as some loss of momentum (or force). That's why I said, "(almost) 20 FPS."
So how does all of this apply to splitting wood??
Well, you can claim all the kinetic energy you want... but the force acting (working) to split the wood is momentum ('cause energy is not force)... there is also, or should be, at least some force from the user at impact.
I can shoot a small steel wedge (or steel core bullet) from a gun at several thousand feet per second, and it would carry an awesome amount of kinetic energy... but it won't split the log.
Enough said.
*
A 3 oz ball moving at 40 fps has twice as much kinetic energy as a 6 oz ball moving at 20 fps but their momentum is the same.
If the 3 oz ball moving at 40 fps collides with a 6 oz ball that is 0 fps then the proper approach to finding the final velocity of the balls is to combine conservation of momentum AND conservation of energy. Linear impulse of two objects defines how the objects react. As we both agree, the total amount of momentum is conserved. Thats is, the 6oz ball will travel 13.3 fps in the direction the 3oz ball was traveling in. After colusion, the 3 oz ball will actually travel 6.6 fps in the oposite direction. "The other half" of kinetic energy is not dissipated as heat and noise, those are minor losses that can be ignored and still get accurate predictions on final velocity post collision.
If you'd like to make a post to debate this further we can do that. I'd suggest the political forum where bickering is encouraged.
Please read this before you do though...
http://www.sparknotes.com/physics/linearmomentum/collisions/section1.rhtml#1d