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## Homework Statement

Spaceship A of length 30m travels at 0.6c past spaceship B. Clocks in frame S' of spaceship A and S of spaceship B are synchronised within their respective frames of reference and are set to zero, so that t' = t = 0 at the instant the front of spaceship A passes the rear of spaceship B located at x' = x = 0. At this time a light flashes at the front of spaceship A.

a. When the light flash reaches the rear of spaceship A, what is the reading of a clock there?

b. What is the reading on the clock on spaceship B when according to an observer on B, the flash reaches the rear of A?

## Homework Equations

Lorentz transformation formulas

## The Attempt at a Solution

a. From spaceship A's POV, it is stationary. It measures proper length. Thus time t

_{1}' = 30m / speed of light. Is this correct?

b. Using Lorentz transformation of time,

t = γ(t' + ux'/c

^{2})

x

_{1}' = -30, u = 0.6c and t

_{1}' from answer in a, I got t

_{1}= 5.0*10

^{-8}s. Does this work?

Thanks!