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 Δ 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 Δ x = L. A B Frame O x ct c Δ t=c γτ γτ Δ x=L A B Frame O' x' ct' c Δ t'=c τ Δ x'=0 proper time = time at rest with clock ) ( ) ( t c x x x t c t c Δ + Δ = Δ Δ + Δ = Δ β γ Δ = Δ x c t c τ where 2 1 / 1 / = = c V . Thus, γβ c x = Δ and γτ = Δ
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This note was uploaded on 10/17/2011 for the course PHY 2061 taught by Professor Fry during the Spring '08 term at University of Florida.

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