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A particle moves along the x' axis of frame S' with a speed of 0.43c. Frame S' moves with a speed of 0.587c with respect to frame S. What is the measured speed of the particle in frame S?
To find out the measured speed v of the particle in frame S, substitute 0.43c for v0, 0.587c for u in the equation v = (v0 + u) / (1 + v0u/c2),v = (v0 + u) / (1 + v0u/c2) = (0.43c + 0.587c) / (1+(0.43c) (0.587c)/c2) = 1.017c / (1+0.2524) = 0.812cFrom the above observation we conclude that, the measured speed v of the particle in frame S would be 0.812c.
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