actually the energy is used in stopping the cars, one car exerts a force on the other car with enough force to stop the car, and vise versa, so each take the other cars energy to change their momentum. That makes perfect sense to me, but then what happened to the momentum?
momentum is relative, so it must be a vector, it is directional. If every particle of mass in the universe were moving the same way it would have no kinetic energy, it is only when something is moving the other way that there is momentum. Actually all things have momentum even when there still, they stay on their own place in space-time, which may or may not be moving relative to some other point in space-time, and they stay there until something else moves them, off that point in space-time. it is imposible to go from a stand still to moving north, without exerting a force south, it is impossible to be heading north and turn and go west without exerting a force east. That is because there is enough momentum going north to go west, but first you must accellerate in that direction. I don't remember what i was trying to get at now... o ya, momentum is scaler but it has three dimentions, the energy can be converted from one dimension to another. What i mean by dimension is left right, momentum, is different than front back momentum, and up down momentum. all are compatable with each other, exept for the opposite. which means that left doesn't cancel out up or down or front or back, but it does cancel out right. Left cancels right, up cancels down, front cancels back. It is true, think about two object heading toward each other. They don't give all their energy to heat and sound when the collide, they cancell out the others momentum, like tug-o-war