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1099_Physics ProblemsTechnical Physics

1099_Physics ProblemsTechnical Physics - 440 P39.15...

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440 Relativity P39.15 (a) Since your ship is identical to his, and you are at rest with respect to your own ship, its length is 20 0 . m . (b) His ship is in motion relative to you, so you measure its length contracted to 19 0 . m . (c) We have L L v c p = 1 2 2 from which L L v c p = = = 19 0 0 950 1 2 2 . . m 20.0 m and v c = 0 312 . . *P39.16 In the Earth frame, Speedo’s trip lasts for a time t x v = = = 20 0 21 05 . . ly 0.950 ly yr yr . Speedo’s age advances only by the proper time interval t t p = = = γ 21 05 6 574 . . yr 1 0.95 yr 2 during his trip. Similarly for Goslo, t x v v c p = = = 1 20 0 1 0 75 17 64 2 2 2 . . . ly 0.750 ly yr yr . While Speedo has landed on Planet X and is waiting for his brother, he ages by 20 0 20 0 5 614 . . . ly 0.750 ly yr ly 0.950 ly yr yr = . Then Goslo ends up older by 17 64 6 574
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