two signals occur simultaneously at a separation of 1 km as measured b
Question
Two signals occur simultaneously at a separation of 1 km, as measured by a stationary observer.A super-fast train passes by, travelling at 0.8c (along the direction joining the two events).By writing down the event coordinates in the stationary frame, and then transforming to themoving frame: Find the spatial separation of the events as judged from the train. Find the temporal separation of the events as judged from the train. Two more signals occur, with no spatial separation but separated by 10 µs, as judged by the stationary observer. By the same method: Find the spatial separation of the second set of events as judged from the train. Find the temporal separation between the second set of events as judged from the train.