(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

A spaceship (SH) moves with speed v=0.6c relative to a space station (SS) (sic!). Two lasers, A and B, on the SS are 5.00m apart as measured by the SS observers. The gamma factor for a speed v=0.6c is 1.25.

The lasers are fired simultaneously acc. to the SS observers. Light from each laser makes a mark on the SH. The SH observers measure the distance between the two marks to be 6.25m.

We are to calculate the difference in time between the firings of the two lasers acc. to the SH observers.

2. Relevant equations

I'm taking the equation 'for' simultaneity from http://en.wikipedia.org/wiki/Special_relativity

3. The attempt at a solution

\Delta t' = \gamma \left( \Delta t - \frac{v \Delta x}{c^2} \right),

where in our case:

\Delta t = 0s (events are simultaneous in S frame), \gamma = 0.6c, \Delta x = 6.25m.

It results in 15.6ns.

Please tell whether I'm correct with my attempt.

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# Homework Help: Simultaneity of lasers homework

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