A rod of length 1.69 m is at rest in an inertial frame S 2 . If S 2 moves with a

Question

A rod of length 1.69 m is at rest in an inertial frameS2. If S2 moves with a speed of 0.19 cwith respect to a rest frame S1, what is thelength of the rod as measured in frame S1,according to the special theory of relativity? Answer in units ofm. A rod of length 1.69 m is at rest in an inertial frameS2. If S2 moves with a speed of 0.19 cwith respect to a rest frame S1, what is thelength of the rod as measured in frame S1,according to the special theory of relativity? Answer in units ofm. If S2 moves with a speed of 0.19 cwith respect to a rest frame S1, what is thelength of the rod as measured in frame S1,according to the special theory of relativity? Answer in units ofm.

Explanation / Answer

First find the 'gamma' factor = (1 - v2 / c2) -1/2     = (1 - 0.192) -1/2     = 1.019 According to length contraction theory, as measured from S1: L' = L / = 1.69 m / 1.019 = 1.66 m

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