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Homework Help: Relativity (lorentz contraction)

  1. Oct 17, 2011 #1
    1. The problem statement, all variables and given/known data
    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?

    2. Relevant equations
    L= Lnot/γ

    3. 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.
    Last edited: Oct 17, 2011
  2. jcsd
  3. Oct 18, 2011 #2
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