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Lorentz and Galilean Tranformations

  1. Mar 8, 2014 #1
    1. The problem statement, all variables and given/known data
    At what speed v will the Galilean and Lorentz expressions for x differ by 0,10 percent?

    2. Relevant equations
    xL= (x'+vt')/√(1-(v/c)²) (Lorentz Transformation)
    xG=x'+vt' (Galilean Tranformation)

    3. The attempt at a solution
    I've tried: xG/xL = √(1-(v/c)²) = 0,1%=0,1/100=10^(-3) => 1-(v/c)² = 10^(-6) => v = [√(1-10^-6)]*c~ 0,999999*c.
    Where did I go wrong?

    The result is 0,0447c according to the book (Introduction to
     
  2. jcsd
  3. Mar 8, 2014 #2

    maajdl

    User Avatar
    Gold Member

    xG/xL = √(1-(v/c)²) = 1-0,1%

    "will differ by 0,10 percent"

    not "will be 0.10 percent"
     
  4. Mar 8, 2014 #3
    Thanks, maajdl.

    Greetings from Brazil.
     
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