Humber,
Run my experiment with the windows blacked out on both cars.
Is it possible for an observer to know which car they are in when they hit the brakes?
Ivor,
Yes. All bodies within the braked vehicle will react to the loss of kinetic energy. They will therefore "slowdown" which is felt as forward or backward motion ( dependent upon arbitrary choice as to which is forward. )
You have not responded to my remark concerning the wind.
Put the treadmill in a vehicle. Drive downwind at windspeed. Open the window and put the toy outside. Now what happens?
Is seems that some would have you equate "inertial frames of reference" with "point of view". You have to travel with the treadmill (simulator) in each case!
You really don't get it, do you?
Something at fixed position on a treadmill is equivalent to something moving at the speed of the wind. That's not the situation you want to study if you are designing something to be aerodynamic or for powered flight, obviously. And something moving with the treadmill falls off the end quite quickly
In one case your car was moving relative to the ground, and in the other it wasn't. See the difference?
It's relative motion that matters, and only relative motion. Absolute motion is utterly meaningless. That has been understood by everyone else at least since Galileo.
No, your argument is not Galilean, but based upon pre-scientific notions. If this "treadmill system" could be idealized, the vehicle, when placed on the ground, would be immovable in the given direction.
The drag and motive forces, of any magnitude, would always oppose each other so as to prevent motion. This is clearly impossible to realise in practice. The treadmill is an imperfect model of that situation. Nothing more.
The real cart does move with the wind, but that is because its real model is not that of the treadmill. In the latter case, the "treadmill" is not part of "the system" but part of the vehicle itself.
ETA:
To anticipate an escape route. If this device exploits a putative "propeller tip effect", then this must apply to all existing propellers. Such effects have not been observed.