Lect_31_note

Lect_31_note - Chapter 39 Relativity Space o1 o2 Space o1...

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Chapter 39 Relativity
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Space o 1 o 2
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Space o 1 o 2 L p = v t p
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Space
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Space L = v t
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Length Contraction L p = v t p L = v t 2 2 2 2 1 1 where 1 p p t t γ t v c γ v c ∆= = ∆ =
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Length Contraction 2 2 1 P P Lv LL γ c ==
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Length Contraction z The measured distance between two points depends on the frame of reference of the observer z The length of an object measured in a reference frame that is moving with respect to the object is always less than the proper length z Length contraction takes place only along the direction of motion
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Lorentz Transformation Equations z Assume the events at points P and Q are reported by two observers z One observer is at rest in frame S z The other observer is in frame S’ moving to the right with speed v
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Lorentz Transformations 2 2 2 2 1 1 where 1 p p t t γ t v c γ v c == = z To transform coordinates from S to S’ use 2 '' ' v zz t γ tx c ⎛⎞ ==+ ⎜⎟ ⎝⎠ () '' ' ' ' x γ xv t y yz zt γ t =+ =
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Lorentz Transformations 2 2 2 2 1 1 where 1 p p t t γ t v c γ v c == = z To transform coordinates from S to S’ use 2 '' ' v zz t
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This note was uploaded on 01/28/2011 for the course PHYS 011 taught by Professor Nianlin during the Fall '08 term at HKUST.

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Lect_31_note - Chapter 39 Relativity Space o1 o2 Space o1...

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