Just a quicky,
Humber, you DO acknowledge that KE varies with velocity, and as velocity is relative, varies withe the velocity of the observer?
Not a quick answer, I am afraid. It is more than just that idea.
Yes, RossFW, zero KE, but it is simply a tautology of Newton. It has no consequence at all. In the sense that I am sure you mean, Newton
is "relativistic".
None of you have managed to tell me how this is relevant, except that it can perhaps support the "reference frame" idea at windspeed, but this is not supportable in the real world.
Now is it not absolutely so, that if a boat has no velocity relative to the water, then every molecule must be in some kind of time warp? How can that not be the conclusion? They cannot move relative to each other without moving relative to the boat. That is just impossible! Why don't all rivers do this, even if there are no boats in it? Don't evade the question!
You say that the cart has no KE on the treadmill. You realise that if the cart is rolling down the road, and you are running beside it at the same speed, it has no KE relative to you either, and that this is indistinguishable from the situation were you and the cart are stationary with the cart on the treadmill?
In the real world, there is KE for both the cart and the runner w.r.t the ground. Now it is true that when at the same velocity, there is zero KE w.r.t each other, but that KE common to the ground remains for each object. The runner will certainly know about that if he runs into a wall.
On the belt, the "runner" is alongside the cart, but he will have zero KE w.r.t the (real) ground, and the cart. So where is it? W.r.t the belt?
It is not possible, I think, to transfer the KE that way. What is the belt's KE? Can you say that it has the same KE as the
cart "would have" on the road. How do you justify that?
What if you make a belt, that has sufficient power and friction, but is essentially massless. What now? The cart would still do its thing at windspeed, regardless.
If you follow this through, you will see that the solution that gives you none of these problems, is to realise that the belt is not the ground, but the equivalent of moving road, set in the ground. Set the treadmill in the ground, and then all zero KE's are the same. So now, the wind is definitely made by objects being carried through the still air by the belt, so that is what is expected.
If you think about the rolling orange, would it matter in which direction it traveled along that belt, in order to gain KE relative to the ground? Only when it is stationary w.r.t the ground, does it have zero KE. What would convince you that that orange was going at the speed of the wind?
It would take a good salesman in my case.
Oranges do that, believe me. What if it
were a dip in the belt (it's not) that causes it to spin like that?
OK, the orange makes a dip in the belt to stay fixed relative to the ground with no KE.
So that means it is
not at windspeed, whereas in the same situation but without a dip, it is?
It all "works" for two objects "stuck" in the same frame, but a third object moving relative to that, is just as Newtonian as you would expect.