Question

A satellite explodes at the origin of an inertial reference frame. Then, 2 micro seconds later, a second satellite explodes 300m away. Astronauts in a passing rocket assume the distance between the explosions to be 200m. According to the astronauts, how much time elapsed between the two explosions?

Answer 1

you can use Length Contractiob to determine gamma,
\[L = \frac{ Lp }{ \gamma }\]
\[\gamma=\frac{ Lp }{ L }\]
Lp = 300 m, and L = 200 m
so, \[\gamma=...?\]

then, the time dilatation
\[t=tp.\gamma \]
with tp = 2 micro second

Answer 2

thats what I thought, but it seems a little too simple. Maybe I am overcomplicating things...