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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?

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?

Grade:10

1 Answers

Jitender Pal
askIITians Faculty 365 Points
8 years ago
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)
= 0.812c
From the above observation we conclude that, the measured speed v of the particle in frame S would be 0.812c.

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