Polly runs toward the barn so quickly a significant fraction of the speed of.
Relativity barn door paradox.
When it and the barn are at rest the pole is longer than the barn.
The fact that two events are simultaneous in one frame of reference does not imply that they are simultaneous as seen by an observer moving at a relativistic speed with respect to that frame.
If it is moving at relativistic speeds the theory of relativity says that it can at l.
Polly carries a pole.
The ladder is imagined passing through the open front and rear doors of a garage or barn which is shorter than its rest length so if the ladder was not moving it would not be able to fit inside.
There is a barn with a door on each end.
A person carrying a 20 m pole runs at relativistic speeds at a 15 m long barn with doors open on both ends.
Is the symmetry of length contraction paradoxical.
Just as you get inside the barn okay or not just as you get inside but as you get all the way inside the barn so your pole reaches the back door i will close both doors simultaneously.
The pole and barn paradox ladder and garage paradox.
If the person runs sufficiently fast enough the pole will contract according to the observer on the ground frame of reference which we ll call s like the textbook does in length according to the lorentzian transformations so that it will be short enough to fit inside the barn.
If the doors are too soft and the pole is able to penetrate through them both observers will agree that the barn won t get caught and will continue to move.
Barney stands beside a barn with doors open at both ends.
To a stationary observer due to the contraction the moving ladder is able to fit entirely.
You run into the barn with the pole.
Einstein s theory of special relativity makes several predictions some of which seem counter intuitive.
Here s the thought experiment.
And clearly there s enough room if i do it quickly enough very very quickly.
One of the classic paradoxes of special relativity is the pole barn paradox.
Can a pole that is longer than a barn completely fit inside the barn.
The ladder paradox is a thought experiment in special relativity.
From the farmer s viewpoint the doors may get closed simultaneously but simultaneity is relative in relativity so in the pole s reference frame the front door closes before the rear door does.
It involves a ladder parallel to the ground travelling horizontally at relativistic speed and therefore undergoing a lorentz length contraction.
The pole barn paradox is a famous variation on the twin paradoxwhich must be addressed with the ideas of simultaneity in relativity.
According to relativity in your reference frame the barn is shorter than the pole since it is moving and has relativistic dilation.
To calculate the times for the two frames of reference consider the pole entering the barn and set t t 0 at that instant and x x 0 to establish.
You have a pole which is exactly as long as the barn at rest.
