In: Physics
A train, travelling with velocity v = 0.8c, enters a tunnel. The train has proper length 100m and the tunnel has proper length 80m. When the center of the train coincides with the center of the tunnel, two gates located at either end of the tunnel come crashing down. The three events (the center of the train reaching the center of the tunnel, the front gate closing and the rear gate closing) occur simultaneously in the stationary reference frame. a) Describe the order of the events in the train’s reference frame. b) Where are the two ends of the train (from the point of view of each reference frame) when each of the events occurs?