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1097_Physics ProblemsTechnical Physics

# 1097_Physics ProblemsTechnical Physics - 438 P39.9...

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438 Relativity P39.9 ∆∆ tt t vc p p == γ 1 22 so t v c t v c t p =− F H G G I K J J ≅− F H G I K J 11 2 2 2 2 2 and v c t p −= F H G I K J 2 2 2 . If v × = 1000 100 10 277 8 6 km h m 3 600 s ms . . then v c 926 10 7 . and p × = × = −− ej e j bg 4 28 10 3 600 1 54 10 1 54 13 9 .. . s s n s . P39.10 For v c = 0990 ., = 709 . (a) The muon’s lifetime as measured in the Earth’s rest frame is t c = 460 . k m 0.990 and the lifetime measured in the muon’s rest frame is t t p × × L N M M O Q P P = µ 1 460 10 218 3 . . . m 0.990 3.00 10 m s s 8 . (b) LL v c L p p F H G I K J × = 1 649 2 3 m 7.09 m P39.11 The spaceship is measured by the Earth observer to be length-contracted to v c p 1 2 2 or v c p 2 2 1 F H G I K J . Also, the contracted length is related to the time required to pass overhead by:
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