PHYS126 Supplementary Notes 3

PHYS126 Supplementary Notes 3 - PHYS126 Supplementary Notes...

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Unformatted text preview: PHYS126 Supplementary Notes 3 In recent lectures, we have learnt several concepts of special relativity. In this note, several exercises of each topic are shown. 1. Lorentz transformation Now, define two inertial frames S and S. Frame S moves in the +x direction with the speed v relative to the frame S. For the same event: ( , , , ) x y z t in {S} and ( , , , ) x y z t in {S}. Galilean Transformation Lorentz Transformation x x vt =- ( ) x x vt =- 1 < = c v y y = y y = 1 1 1 2- = z z = z z = t t = 2 vx t t c =- The Lorentz Transformation leads to: H1HTime Dilation H2HLength Contraction H3HLoss of Simultaneity (Time as universal quantity) Exercise: The frame s and s are in the standard configuration with relative velocity 0.8c along Ox . (a)What are the coordinates ( 29 1 1 1 1 , , , x y z t in s of an event that occurs on the x axis with 1 1 1500 , 5 x m t s = = ? (b)Answer the same for a second event on the x axis with 2 2 1500 , 10 x m t s = - = ....
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This note was uploaded on 03/31/2011 for the course PHY 126 taught by Professor Hobunchan during the Spring '11 term at HKUST.

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PHYS126 Supplementary Notes 3 - PHYS126 Supplementary Notes...

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