relativity_5 - PHY2061 R. D. Field PHY2060 Review Moving...

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PHY2061 R. D. Field Department of Physics relativity_5.doc University of Florida Moving Clocks & Simultaneity Consider two clocks in the O- frame located a distance x = L apart ( simultaneous in the O- frame ) and one clock at the origin of the O'-frame . Let event A be the comparison of the O and O' clock at the origin and let the two clocks agree. Let event B be the comparison of the O' clock with the second O clock at x = L. A B Frame O x ct c t=c γτ γτ x=L A B Frame O' x' ct' c t'=c τ x'=0 proper time = time at rest with clock ) ( ) ( t c x x x t c t c + = + = β γ = x c t c τ where 2 1 / 1 / = = c V . Thus, γβ c x = and γτ =
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