A plane is standing on a runway that can move (some sort of band conveyer). The plane moves in one direction, while the conveyer moves in the opposite direction. This conveyer has a control system that tracks the plane speed and tunes the speed of the conveyer to be exactly the same (but in opposite direction).
The question is:
Will the plane take off or not? Will it be able to run up and take off?
PS: before you google it, there’s 18 pages of argument between physics students on:

December 2nd, 2005 at 7:19 am - Edit
No. No it won’t. The plane is going at 0m/s relative to the air, so it will never get any lift.