Relativity - Length Contraction

[pat666]

Homework Statement

A spaceship flies past a space station at 0.75c. Observers on the station measure the length of the ship to be 0.30 km. If the ship later docks alongside the station and its length is measured, what would this measured value be?

Homework Equations

d=d₀/$$\gamma$$

The Attempt at a Solution

d₀=300/$$\sqrt{1-.75²}$$
d=453.557m

I think this should be right but I need someone to check for me because relativity confuses the s*** out of me..
Thanks for any help.

 

[Doc Al]

Looks good to me. The observed length is the proper length contracted by gamma.

 

[pat666]

Thanks for looking Doc!