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Unformatted text preview: the front with speed u with respect to the train. Show that it is possible to choose a value of u so that the ball hits the front of the train simultaneously (as measured in the train frame) with the tree passing the back of the train. You should nd that this can only happen if v is less than a critical value v which you should compute. Draw a diagram of this setup. 6. Suppose that I observe two events which happen at positions x 1 and x 2 and at times t 1 and t 2 . Under what circumstances is it possible to nd an observer moving at constant velocity who will see these events happening simultaneously? Draw a diagram of this setup. What is the velocity (relative to me) of the observer who sees these events as simultaneous? What is this velocity in the limit where | x 1-x 2 | approaches c | t 1-t 2 | ? 1...
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- Spring '10