Vehicle moving at a certain speed, onto a conveyor moving at same speed....

What if it was a plane? Could it take off?

Mythbusters did something similar: A plane on a conveyor belt moving in the opposing direction of travel whilst the plane is stationary. The plane took off as the wheel bearings allow the plane to remain separated from the effects of the conveyor.
 
Bit more complex as that's a dimensional problem. I think it's still the same principle, however the wave also causes the boat to rise and fall and there is a direct transfer of energy into the ship. Sure someone else will have a better explanation than that :)

It's a very different principle as the water will be displaced around the boat. The friction force applied by the water travelling past the boat will be far lower than rubber against a solid surface. Too many fluid flow and aerodynamic variables involved to give a fixed answer though.
 
Mythbusters did something similar: A plane on a conveyor belt moving in the opposing direction of travel whilst the plane is stationary. The plane took off as the wheel bearings allow the plane to remain separated from the effects of the conveyor.

Sensible answers are not allowed.
 
Doesn't quantum mechanics dictate the answer is both? Until observed anyway, see: http://en.wikipedia.org/wiki/Schr%C3%B6dinger%27s_cat

A bear farting in the woods is macroscopic, in other words, contingent above the atomic level. Quantum mechanics deals with phenomena below the atomic level, for instance, your Schrodinger's cat example. Macroscopic events can not be simultaneously in two states of reality.

I do love Schrodinger's cat though. It bends my mind. ;)
 
A bear farting in the woods is macroscopic, in other words, contingent above the atomic level. Quantum mechanics deals with phenomena below the atomic level, for instance, your Schrodinger's cat example. Macroscopic events can not be simultaneously in two states of reality.

I do love Schrodinger's cat though. It bends my mind. ;)

Oh if you like that sorta thing this is perfect :p

 
It would move forward for a while as the momentum would be a higher force than the friction between the tyres and the conveyer but would then level out and remain static.

If, however, the conveyor was made up of cogs and the car had matching cogs for wheels then it would happen immediately (or rather as soon as the back cogs connected with the conveyer)

this. end.
 
theres a mythbusters episode on this, the plane can take off. The wheels are not connected to the engine, meaning the body of the plane still has the ability to take off. (Very limited explanation here is a video! http://www.youtube.com/watch?v=YORCk1BN7QY&feature=player_detailpage )
I always thought the myth meant the plane held a stationary position on the conveyer, matching its speed exactly. That video shows the plane moving forward so of course it would take off, as one of the comments reveals small planes can be lifted off the ground by a strong headwind even when not in use.
 
I always thought the myth meant the plane held a stationary position on the conveyer, matching its speed exactly. That video shows the plane moving forward so of course it would take off, as one of the comments reveals small planes can be lifted off the ground by a strong headwind even when not in use.

That's why it's a myth, not a fact. As stated inumerable times: the force that pushes the plane forwards has nothing to do with the ground, so the conveyor belt has a negligible effect on its forward movement and hence its takeoff.
 
It would depend if the car is in gear or not.

If the car is in gear, then from the car's point of view, it's gone from 30mph to 60mph very suddenly, so potentially do some damage, dependant on the gearing...

If it's not in gear, and we're modelling it as just four wheels without any other engine attached, then it'll probably just keep going, but travel less distance total due to increased friction in the bearings and on the contact area of the tyres.

Except the conveyor is running in the opposite direction at the same speed so the car isn't doing 60mph at all
 
The car would no more stop dead than KITT instantly accelerates the moment he touches the ramp of his truck and launches into the back of the cab! :) It would simply continue at 30 mph relative to the ground but the wheels/drivetrain would be driven by the conveyor up to 60 mph (indicated on the speedo). The car would have course experience some deceleration in reaction to this, and whether the vehicle continues to slow or not depends on what the driver does. He could apply a little more power and keep the car at 30 mph relative to the ground (with speedo reading 60) or say, for example, the car was on cruise control set at 30 mph, it would coast down to 0 mph relative to the ground (speedo at 30).

If, however, the conveyor was made up of cogs and the car had matching cogs for wheels then it would happen immediately (or rather as soon as the back cogs connected with the conveyer)

No. How do you instantly stop a car (without putting a solid wall infront of it)? If the wheels were cogs and the conveyor a toothed belt, the wheels would be near-instantly driven to 60 mph as soon as they engaged with the belt and the car would still continue initially at 30 mph relative to the ground but decelerating in reaction to the sudden acceleration of the wheels then as above, the final resulting speed depends on the driver.
 
Except the conveyor is running in the opposite direction at the same speed so the car isn't doing 60mph at all

The wheels are doing a relative speed of 60mph, and it's a sudden jump from 30mph to 60mph (again, relative speed that the wheels are experiencing) when it hits the conveyor.

I don't believe it would do any damage due to gears etc though as the tyres would slip instantly before any damage was done.
 
I think a bear's fart does smell, even if there's no-one there in the woods. Schrodinger didn't have a bear, that was Simon Smith.
 
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