- #1
wtronic
- 10
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Homework Statement
start from:
x = [x' + vt']/sqrt[1 - v^2/c^2]
ct = [v/cx' +ct']/sqrt[1 - v^2/c^2]
y = y'
z = z'
Homework Equations
show that
( 1 - [tex]\frac{u^{2}}{c^{2}}[/tex])(1+[tex]\frac{vux'^{2}}{c^{2}}[/tex]) = ( 1 - [tex]\frac{v^{2}}{c^{2}}[/tex])(1-[tex]\frac{u'^{2}}{c^{2}}[/tex])
The Attempt at a Solution
ok, I have spent many hours on this crappy thing. We have no book in class so...
I derived the lorentz transformation for ux, uy, and uz... as well as u'x', u'y', u'z'... then i computed the velocities in each fram using u = sqrt[ ux^2 + uy^2 + uz^2] and the same for u'. Nevertheless I end up in some mess of algebraic letters that get me nowhere close to the answer. I just need some sort of hit as to how to approach this problem.
thansk for any hints.
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