Oh, I missed this one. If I've missed any others do flag them up.
Oh my... there are so many errors in this one post it reads like a failing exam in my high school physics class.
It's because for every action there is a reaction. A force is only there if there's an interaction. I can't exert a force on you without you exerting a force on me. Vector momentum is just another way of saying that.
No, it isn't. Vector momentum is not the same thing as Newton's Third Law of action/reaction. If you are referring to the impulse-momentum theorem (which is derived from Newton's
Second Law), then you are doing it in a piss-poor manner.
But total momentum of zero just doesn't distinguish between two cannonballs sitting there going nowhere and two cannonballs flying apart at 2000m/s. Why can't people see that momentum is the time-based measure of energy-momentum interaction whilst kinetic energy is the distance-based measure of action?
What? Do you just pull these things out of your nether region? According to the impulse-momentum theorem, a change in momentum is identical to force integrated over a time interval, and work (a transfer of energy) is identical to force integrated over a displacement.
A cannonball coming at you at 1000m/s takes some stopping. You exert a force for a time and while you do the cannonball pushes you back a distance. You exert a force on it, and it exerts a force on you. But there's no such thing as negative distance, so kinetic energy isn't negative. There's no such thing as a negative time either, but people blather on about negative momentum, and fail to recognise that the sign is abusive term for direction.
Wow. Talk about misunderstanding the basics...
Farsight, when discussing impulse (what you call force x time) you need to remember that an impulse is equal to a
change in momentum; so if the object loses momentum, the impulse is negative (because the force acting on the object is in the opposite direction of the motion). It has nothing to do with the concept of "negative time"!
You make a similar mistake with work and kinetic energy. According to the work-energy theorem, assuming no transfer of potential energy, the work done on an object is equal to the
change in kinetic energy of the object. Therefore, if an object slows down (loses KE), then there is negative work done on it (i.e. energy is transferred away from the object); this is due to the fact that the work is defined as the scalar product of force and displacement, and if the force acting is in the opposite direction of the displacement then the work comes out negative. And, for the record, because displacement
is a vector, it
can be a negative quantity depending upon how it is oriented.
No, you are just digging the hole even deeper. You are doing nothing more than displaying your ignorance of not only cutting edge physics but high school physics as well.
You try catching a piece. Exert a force for a time. Is that a zero time? No. It's a non-zero time, so the momentum of that piece isn't zero. Now I catch a piece on the other side of the bomb. And whaddya know, I didn't exert a force for zero time either. So the momentum of that piece isn't zero. But wait a minute, that's OK, force is a vector quantity too. You exerted a force, and I exerted a negative force? Did I suck or did I blow? Or was that the other way round? And if I can exert a negative force for a distance, is the result negative kinetic energy? Hey look at that cannonball! It's got negative kinetic energy! Don't think so.
Again, the work done is equal to the
change in kinetic energy in this case, not the kinetic energy. Therefore because the
change in kinetic energy can be negative (i.e. the object loses KE), then the work can be negative.
It's like what I said. For every action there is a reaction. A force is an interaction. I can't exert a force on you without you exerting a force on me. Vector momentum is just another way of saying that. So the total always adds up to zero. But I still exerted a force on you and pushed you along for a hundred metres. And force x distance = energy, and distance is a scalar, and KE= ½mv² because there's an integral in it. That's a different value. You get two different values when you look at the same thing in two different ways. How long is it? How wide is it? Momentum is just one aspect of energy-momentum, and kinetic energy is another. And mass is another. Divide energy by c for momentum. Divide again by c for mass. But it's all just energy-momentum, like a cube coming at you, and you can see three faces.
Saying the same wrong things over and over again doesn't make you any more correct, Farsight.
Sheesh, look at the time. Bedtime.
Please, follow these steps:
1. Go to the library.
2. Get a book on basic physics.
3. Read the book, and work the problems.
4. Realize your errors.