Question: Consider two clocks carried by observers in a reference frame moving at speed v in the positive x-direction relative to Earth's rest frame. Assume that
Consider two clocks carried by observers in a reference frame moving at speed v in the positive x-direction relative to Earth's rest frame. Assume that the two reference frames have parallel axes and that their origins coincide when clocks at that point in both frames read zero. Suppose the clocks are separated by a distance I in the x'-direction in their own reference frame; for instance, x = 0 for one clock and x' = I for the other, with y = z = 0 for both. Determine the readings t' on both clocks as functions of the time coordinate t in Earths reference frame.
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