Relativity (lorentz contraction)

[Allein]

Homework Statement

As measured by an observer on earth, a spacecraft runway has a length of 3.6km. What is the length of the runway as measured by the pilot of a spacecraft flying directly over the runway at a speed 4.00 x10^7 m/s relative to the earth?

Homework Equations

L= Lnot/γ

The Attempt at a Solution

I inserted 3.6km as the Lnot and got 3351m as the answer by using the equation.
L= 3600/ (1/sqrt(1-4.0E7/3.0E8))
= 3351m
Is this true? Or i have confused the L as Lnot? I got the answer as i figure the pilot is in rest and the runway is moving relative to him.

 

[Spinnor]

The factor 4.0E7/3.0E8 you wrote should be squared, see,

http://en.wikipedia.org/wiki/Length_contraction