# Homework Help: Relativity - Length Contraction

1. Sep 3, 2010

### pat666

1. The problem statement, all variables and given/known data
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?

2. Relevant equations

d=d0/$$\gamma$$

3. 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.

2. Sep 3, 2010

### Staff: Mentor

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

3. Sep 3, 2010

### pat666

Thanks for looking Doc!