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A spaceship has a length of 200m in its own reference
frame. It is traveling at 0.95c relative to Earth.
Suppose that the tail of the spaceship emits a flash
of light. (a)In the reference frame of the spaceship,
how long does the light take to reach the nose?
(b)In the reference frame of the Earth, how long does
this take? Calculate the time directly from the motions of
the spaceship and the flash of light, and explain
why you cannot obtain the answer by applying the
time-dilation factor to the result from Part (a).
(from Ohanian's Principles of Physics)
I would rather have the
understanding of the problem and work from there.
From the earth's viewpoint, the nose is 200sqrt(1 - .95^2) or 62.45 metersahead of the tail when the flash is emitted. Also from earth's view, the