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