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Unformatted text preview: dilation factor, just as is every other activity on the train as seen from the ground. However, for steady motion on the train in an arbitrary direction, velocity components ( u x' , u y' ) the crosstrain velocity transforms in a more complicated way, because the train clocks at the beginning and end of the walk are now separated in the xdirection, so if they register an elapsed time of w / u y a ground observer would add a lack of synchronicity term Thus the time for the walk as observed from the ground From this we find the general formula for transformation of transverse velocities: For the special case of walking directly across the train, u x' = 0, we recover the earlier result, that transverse velocity is simply slowed by the time dilation effect....
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 Fall '10
 DavidJudd
 Physics

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