QUOTE (Adi @ Dec 20 2006, 2:13 pm)

Sin.
I originally thought that it would fly. Seemed obvious to me, so I voted that way. Then I started to think some more and tied myself in knots with points which were not part of the scenario.
Key things:
1. Forward motion comes from the jets, which are not tied to the belt (they are separated by the free-wheeling wheels). This is fundamentally different than the scenario with a car, where forward motion is obtained through driven wheels and the friction from the tires on the ground.
2. Because forward motion is not related to what the wheels are doing, the jets are free to propel the aircraft (to which they ARE attached) up to it's take-off speed. The take-off speed required would be, I guess, very very marginally higher than if the plane was not on a belt moving in the opposite direction. So marginal, that other effects (such as prevailing head-wind speed, air-density, etc.) would be far greater.
Well, I look at it this way:
1. There are no variables given, so therefore there are none. Zero, zilch, nada. There is no head-wind. The air-density is taken as normal.
2. The jet/s is/are at take-off thrust. The plane moves forwards. The conveyor moves backwards.
The rub comes on the interpretation of opposing speed. The intake/output of the jet/s do not generate lift. It/they merely suck air through a port, or ports, compress said air and thrust it backwards. If the plane was not in contact with the conveyor belt then obviously, it is already flying.
STB summed it up pretty well with the glider scenario. This is where the devil in the detail was exposed. The plane moves forwards at (eg) 300mph, and the conveyor belt moves backwards at the same speed. The passing speed is 600mph, and because the plane has forward momentum it gathers lift and up it goes. It is the scenario when the plane moves forwards at 0mph because the conveyor is matching it's speed that causes all the problems. This can be proved by watching a plane firing it's jet/s without wishing to move. The air moves behind the aircraft, but it does not move forwards because of the brakes/chocs. In one interpretation, no matter how fast the wheels spin, the conveyor belt acts as the virtual brake, and no forward momentum is gained, no airflow, no lift, no take-off.
And this is the beauty of the riddle. It never fully satisfies which scenario we are working to, so the correct answer is,
Not enough information.
However, the marketing boys have already sold 27 conveyor belt launch systems to Saudi Arabia, and taken a 50% deposit, so we'd better get the thing to work PDQ.