Posted by Anonymous on Wednesday, May 6, 2009 at 10:21pm.
Um, how can one determine a relativistically affected length, if no length at all is given in the problem?
I apoligize. I forgot to include that Astrotrain fired a 3m ion rocket at Fotress Maximus.
The speed of the rocket relative to Earth must first be computed. There is a relavistic velocity-addition formula for that. You can find it at
http://en.wikipedia.org/wiki/Velocity-addition_formula
The value for the relative velocity is
v = (.77c + 0.35c)/[1 + (0.77*0.35)]
= 0.882 c
Now use the Fitz-Gerald contraction formula for the apparent length of the rocket, L', as seen from Earth
L' = L * sqrt[1 - (v/c)^2]= 0.471 L
= 1.41 m
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