(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

Two flashes of light strike at the same time, at the two orange circles on the diagram. The green train is traveling at a constant 150 kmh relative to the grey platform. The train is 1 km long.

As measured by someone at point F on the grey platform, how much time passes between the arrival of the waves at F’ on the train? (basically, the 2nd and 4th picture):

http://farm5.static.flickr.com/4008/4310911490_7ccb6e5ebf_o.jpg

2. Relevant equations

x = γ(x’ + vt’)

t’ = γ(t – vx/c^{2})

γ = (1 – v^{2}/c^{2})^{-1/2}

3. The attempt at a solution

Since they will arrive at exactly the same time for an observer on the train at F’, t = 0. t' will be the difference.

t’ = γ [0 – vγ(vt’)/c^2]

where v = 41.66666, and γ = 1.00000000000001

I’d like to hear any feedback on if I’m on the right track before trying to solve for t’.

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# Homework Help: Relativity calculation, Lorentz transformations

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