- #1
Icaro Amorim
- 8
- 0
Homework Statement
At what speed v will the Galilean and Lorentz expressions for x differ by 0,10 percent?
Homework Equations
xL= (x'+vt')/√(1-(v/c)²) (Lorentz Transformation)
xG=x'+vt' (Galilean Tranformation)
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