Eranikum wrote...
you just need to use a certain counterforce to get your own wheels into movement.
Movement is not the issue here, it's not like the conveyor belt would prevent the wheels from moving.
Eranikum wrote...
It is all within the energy conservation law, as long as you will be able to use a bit more throttle to negate the energy loss through heat / contact. That way even if the conveyor belt builds up the same speed as the aircraft, the aircraft having a non direct force conversion (i.e. from the engine to the propeller instead of the wheels), will be able to lift off.
You are basically trying to say that the airplane is in advantage over the conveyor belt due to the fact that it isn't directly motorized?
If we follow that path and make it a race of engines both sides would probably speed up to an infinite amount until one side perishes under the extreme friction, but this is not an option, since this is a riddle about the laws of physics and not about various materials and their flaws. Let's get away from that theory.
By the way, I just watched that Mythbuster video, and I'm a little disappointed. It doesn't seem to be a very accurate measurement of speeds, the airplane used is a lightweight and they didn't get that much into detail when explaining it.