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Observers in a frame S arrange for two simultaneous explosions at time t=0. The first explosion is at the origin(x1=y1=z1 =0) while the second is on the positive x-axis 4 light-years away(x2= 4 light-years, y2=z2 = 0)

(a) Use Lorentz transformations to determine the coordinates of these two events as observed in a frame S' traveling in the standard configuration at speed 0.6c relative to S.

(b) Find how far apart are the two events as measured in S'?

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