- #71
quantumdude
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Andrew Mason said:I am not saying that gravity accounts for nuclear stability.
If there is no strong force to provide the stability, then something else must do the job. It's as simple as that.
Obviously the force of gravity is not sufficient to account for the binding energy of a proton and neutron (ie. the energy required to unbind them). I am suggesting that the explanation for this energy barrier might not require the existence of a mysterious nuclear force at all. If that is the case, then gravity might be the only force in the nucleus.
There's nothing mysterious about the strong interaction. It's only mysterious to people who have not studied it.
An analogy would be to very dense and heavy ball bearings (pretend they are made from neutron star matter) sitting on a level frictionless surface at the bottom of a deep Earth well. Their own gravity would attract them to each other and keep them together but is not the force that keeps them in the well. I am suggesting that there may be some energy barrier that keeps the nucleons from leaving the region of the nucleus, but that it is not a force x distance energy barrier (that is where the analogy ends, of course, because the energy barrier that keeps the ball bearings in the well is Earth gravity x height of the well).
This is just silly. The energy well has to correspond to some potential. Don't you see that you're replacing the (well-understood) strong+weak+EM interaction with gravity and a mysterious energy well? Where does this well come from? God?
It isn't necessitated. The question is whether observational evidence can have an alternate explanation. In case you haven't noticed, I don't like the strong nuclear force.
You don't understand the nuclear force. This can be remedied with some study.
But if the ball drops, it is not moving toward the skater (the grabber). That means the skater has stopped the ball. Since the momentum of the ball in the direction of the skater has to equal to the momentum of the skater in the direction of the ball in the original frame of reference (ie. before the grab), the skater stops moving.
No. The if the ball is dropped after the exchange, then the skaters continue moving towards each other. There has to be another exchange to stop the skaters.
The forward momentum of the skater has to equal the backward momentum of the ball. When the ball stops, the skater stops.
Will you please work out the calculation? It's quite simple. You have a skater carrying a ball, and they are both moving at speed v. If the skater drops the ball, the skater does not stop. In fact, the skater moves faster, because of the reduced mass.
Do you not agree that in the original rest frame, the position of the center of mass of the skater and the ball cannot change?
Yes.
So either the ball keeps moving past the skater's back (ie he throws it behind him) and the skater keeps moving forward toward the other skater, or the ball and the skater stop.
No.
Please do a calucation, and you'll see that it does not work like this.
That is what I originally said because, as I explained, I didn't think you were relying on transfer of momentum because unless the ball was very heavy the skater would not move very far toward the other skater.
Please look up the definition of momentum. The ball need not be very heavy, if it is moving fast. I already explained this.
In my subsequent post I said that the skater would move toward the other skater a little bit and then stop. I said: "I can see how repeated back and forth motion of the same ball via alternating grabs by each skater would move them gradually closer together." And I went on to take issue with your suggestion (perhaps I misunderstood) that once the skater began moving as he pulled the ball towards himself, he would continue moving toward the other. I said that he would only continue until the ball reached him and stopped. I still stand by that. I said "But that momentum lasts only until the ball stops with the grabber"
And that is wrong.
I guess I don't know what you mean by 'attraction'. You cannot mean 'motion' because once the ball has stopped, the skater has to stop. (Or are you suggesting that the skaters are skating as well? {that was a joke})
Whatever happens on that frictionless ice surface, the center of mass of the 2 skater and ball system cannot move. I think we have to agree on that.
By "attraction" I mean that the skaters continue to move towards each other. While it is true that the center of mass of the entire system must not change its momentum, it is not true that the individual constituents of that system must stop moving. And no, the skaters need not have been skating prior to the exchange.
If the skater who pulls the ball towards him never stops the ball (because the other skater grabs it back before it reaches his chest) and this is kept repeating, the two skaters will continue to move together. But I didn't think that was what you were saying because I thought you said the motion of the first skater to grab the ball would continue even if the ball was dropped (ie. after the first grab).
That is precisely what I was saying.
I am not struggling with momentum at all. I am struggling with your example. I assure you I have no problem with basic physics. I studied physics from 1972-1976. That was a long time ago. I have't heard that the principle of conservation of momentum had changed since then.
You are indeed struggling with the idea of momentum.
First, you believe that only a very massive ball can impart an appreciable momentum transfer. But that is wrong because p=mv, so a lightweight but fast moving ball can also impart such an impulse.
Second, you believe that a system with total momentum of zero implies that the momentum of all the constituents must also be zero. But that is also wrong. Once a momentum transfer takes place (as in, say, the exchange of a ball from one skater to another), the center of mass of the system is motionless despite the fact that each skater continues moving. If a momentum q is imparted to skater 1, and a momentum -q is imparted to skater 2, then the total momentum is conserved and the skaters continue on their merry way, towards each other.
I don't know how to make it any clearer than that.
I don't need to revisit classical mechanics. I am rereading my 4th year quantum mechanics text and my 2nd year EM text. I appreciate that you are trying to be helpful, but I think that we are just misunderstanding each other's posts here.
No, you're understanding my posts just fine. It's just that you need to brush up on basic physics. I'm sorry that you disagree, but it's true.
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