- #1
RJLiberator
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Homework Statement
A clock moving at v = (3/5)c reads 12:00 as it passes us in our frame of reference, how far away will it be (in light hours) when it reads 1:00.
Homework Equations
I denote a prime to mean the reference frame of the clock at rest. I use regular lettering to denote 'our' frame of reference.
c = speed of light
t' = t/sqrt(1-v^2/c^2)
L' = L*sqrt(1-v^2/c^2)
L = v*t
The Attempt at a Solution
Alright, I use Lorentz contraction to solve this problem.
First I find the length L using v and t = 1 hr. L = (3/5)c*1 hr = (3/5)c light hours.
Now, I use Lorentz contraction to find L'
L' = (3/5)c*sqrt(1-9/25)
L' = 12c/25