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Old 04-14-2005 | 07:24 AM
  #142  
Arthur P
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Joined: Feb 2003
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Default RE: To heck with KE formulas and theories

Dagnab it! It's so painfully obvious to me and I simply cannot understand why you won't see it!!! It's getting frustrating, but I'll try to get it across, one more time.

Let's review. KE is nothing more than the CAPACITY TO DO WORK. Period.

Without momentum telling KE what direction and over how long a period of time to do that work, it'd just sit there. When you direct an arrow at the target, you are telling momentum which way you want it to tell KE to go do it's work. It IS MOMENTUM THAT FOCUSES KE IN A GIVEN DIRECTION.

A light arrow is easier to deflect and have it's direction of flight changed than a heavy arrow. Why is that? Because it has less momentum holding it on a given direction.

The KE in a tuning fork is not focused in a given direction. Very good. You strike it and it's energy is turned into vibration, noise and heat. So, let's explore the old tuning fork. You strike it to impart KE to the thing, then it just sits there vibrating and humming until all it's energy is expended. That's because it's got no momentum. It will never move across the room on it's. You can strike it and put KE into it, then throw it. But then you've also imparted another level of KE into the tuning fork. Now, that's a whole lot more KE than it had before.

Let's take two identical tuning forks. We'll strike one but not the other and throw them at a target across the room. According to your way of thinking, the humming tuning fork, when thrown at a target, would hit harder than the other because it has more KE. They won't, of course. While one has a lot more TOTAL KE than the other, much of that KE was not handed over to momentum to work with. So, both have the same amount of momentum directing exactly the same amount of KE at the target.

And you're wrong about the fly wheel. It's KE definitely is focused in one direction and it also has momentum. It's momentum is rotational vs linear. It's either going clockwise or counterclockwise. But if the flywheel explodes while it's in motion, the pieces of it fly off on whatever vector their momentum was oriented toward when the wheel broke.

The pieces, in fact, become projectiles. Like arrows. The only difference between arrows and the pieces of the flywheel is that the pieces of the flywheel take off on random vectors while WE control the vector momentum takes off on when we aim and launch our arrows.

Another example. Take a given quantity of gunpowder, say a hundred pounds. Place it on the ground next to a cannon shell and Ignite it. The expanding gasses have a great deal of KE, but that KE is expended in all directions. The cannon shell will be moved a few yards because only a small portion of the total KE was coming in it's direction. Take that hundred pounds of gunpowder and put it in a cannon barrel. Ignite it. The expanding gasses can only go one way and they can send the cannon shell miles downrange. The cannon barrel is like momentum in that it focus the gasses' KE in a given direction.

KE is capacity. Momentum is direction.

The arrow carries the energy therefore its energy has direction.
That's because when we aimed our arrow, we directed it's momentum to go in that specific direction.
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