Spatial separation between two events. For the passing reference frames of Fig. 37-26, events A and B occur with the following spacetime coordinates: according to the unprimed frame, (xA, tA) and (xB, tB); according to the primed frame, (x’A,t’A) and (x’B,t’B). In the unprimed frame, ?t = tB - tA = 1.00 µs and ?x = xB - xA = 240 m. (a) Find an expression for ?x\" in terms of the speed parameter β and the given data. Graph ?x\" versus β for two ranges of β: (b) 0 to 0.01 and (c) 0.1 to 1. (d) At what value of β is ?x\" = 0?
Fig. 37-26
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