Spaceship length contraction problem

[member 731016]

Homework Statement

Please see below

Relevant Equations

Please see below

For this problem,

Does someone please know that won't the cabin, the person, and the clothing all shrink by the same proportion in the direction of travel so if you brought smaller cloths or a smaller cabin than you normally would then you may not be able to fit in? So you should not buy a smaller cabin or smaller cloths?

Thanks for any help.

 

[Drakkith]

If you are on the ship, and the ship accelerates up to 0.99c relative to the Earth, what speed is the ship (and cabin and everything else inside) traveling with respect to you? What is the amount of length contraction for that speed?

 

[member 731016]

If you are on the ship, and the ship accelerates up to 0.99c relative to the Earth, what speed is the ship (and cabin and everything else inside) traveling with respect to you? What is the amount of length contraction for that speed?

Thank you for your reply @Drakkith !

Speed is the ship (and cabin and everything else inside) traveling with respect to you would be zero since it is in my frame of ref.

$L = \frac{L_0}{7.08}$ where $L$ is length contracted spaceship.

Thanks.

 

[Drakkith]

Speed is the ship (and cabin and everything else inside) traveling with respect to you would be zero since it is in my frame of ref.

So if the speed is zero with respect to you, would you need to buy smaller clothes or a smaller cabin?

$L = \frac{L_0}{7.08}$ where $L$ is length contracted spaceship.

Where did you get 7.08?

 

[member 731016]

So if the speed is zero with respect to you, would you need to buy smaller clothes or a smaller cabin?



Where did you get 7.08?

Thank you for you reply @Drakkith!

Sorry I made a numerical error. Also no, you would not need to buy smaller clothes or a smaller cabin. That is actually a really neat way to look at the problem.

Thanks!