p38_077 - 77. (a) The relative contraction is |L| L0 = L0...

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77. (a) The relative contraction is | L | L 0 = L 0 (1 γ 1 ) L 0 =1 p 1 β 2 1 µ 1 1 2 β 2 = 1 2 β 2 = 1 2 µ 630 m / s 3 . 00 × 10 8 m / s 2 =2 . 21 × 10 12 . (b) Letting | t t 0 | =∆ t 0 ( γ 1) = τ . 00 µ s, we solve for ∆ t 0 : t 0 = τ γ 1 = τ (1 β 2 ) 1 / 2 1 τ 1+ 1
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