Special Relativity -- elapsed time while traveling at 0.95c

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SUMMARY

The discussion centers on calculating the elapsed time for a particle traveling at 0.95c over a distance of 10 meters, as observed by both a stationary observer and the particle itself. Using the formula t = d/v, the time measured by the observer is calculated to be 3.5E-8 seconds. The time experienced by the particle, adjusted for relativistic effects using the equation t = t0/gamma, results in a duration of 1.1E-8 seconds. The calculations confirm the accuracy of the results presented.

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Homework Statement


A particle moving at 0.95c travels 10 m, as measured by a stationary observer, and then disappears. How long did the particle live (a) from the point of view of the observer and (b) from the point of view of the particle?

Homework Equations


t = d/v
d = d0/gamma

The Attempt at a Solution


v = 0.95c, d0 = 10 m
a) t0 = d0/v = 3.5E-8 s
b) t = t0/gamma = 1.1*10-8 s

Is this right?
 
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