Mort-Hog
If moral relativism is wrong, I don't wanna be right.
Posts: 4,192
Those of you that are saying:
The plane cannot take off because the plane is stationary and there is no air running over the wings
are completely correct. The plane requires air to be running over the wings for it to take off. The nuance in the problem is that even if the conveyor belt is travelling at the same speed as the plane, the plane will not be stationary.
The wheels are not powered. Imagine you are standing on a conveyor belt on rollerscates. The conveyor belt itself will turn the wheels below you, and you won't move even though the wheels below you are. Sure, you might need some initial force to overcome friction (like holding onto something) but when the conveyor belt accelerates you won't need more force (other than to keep stable).
It is the same with the plane. As the conveyor belt accelerates, it is the conveyor belt that moves the wheels below the plane. When the plane turns on its engines, it must travel forwards. It will require a tiny amount of energy to overcome the frictional force on the conveyor belt, but almost all of this energy will go towards forward motion exactly as it would without the conveyor belt. The wheels will be going crazy, they'll be going twice as fast as usual, but the plane will still be travelling forwards just as it would without the conveyor belt.
The point is that the conveyor belt doesn't make any difference. It just makes the little wheels spin much faster, but the plane will take off at the same speed with or without the conveyor belt. It doesn't need (much) extra energy to overcome to the motion of the conveyor belt.
"The trouble with the world is that the stupid are cocksure and the intelligent are full of doubt. " - Bertrand Russell
The Triumph of Stupidity in Mortals and Others 1931-1935