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Is this analysis right

A space ship is travelling at a steady speed V in the direction shown. Inside the space ship is a simple clock of length L and consisting of a light source at “a” and a mirror at “b”. The light leaves “a”, bounces off the mirror at “b” and goes back to “a”, which counts as a single tick of the clock.

As the space ship is moving the clock is shown at times t1, t2, and t3. At time t2 the clock which was originally at a and b will now be at a' and b'. Time t2 is the time the light reaches the mirror.

The mathematical analysis for the time taken for one tick to occur is

T = ((L – vt)/c) + ((L + vt)/c)

(L – vt)/c = is the time taken for the light to leave the light source and travel to the mirror.

(L + vt)/c = the time to do the return trip.

vt = the distance travelled by the clock in the time it takes for the light to travel the length of the clock.

do I have to allow for length contraction? Is the above correct?

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# I Length contraction

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