Class24HO - Class 24 Applying Special Relativity Physics...

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Class 24 Applying Special Relativity Physics 106 Fall 2011 Press CTRL-L to view as a slide show.
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Last Time Last time we discussed: I c is the limiting velocity of all objects I Gamma I Simultaneity I Length Contraction I Time Dilation
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Basic Ideas I Time can be treated mathematically much in the same way as position I "Energy" is related to mass E = mc 2
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Basic Ideas I Momentum tells position how to change I Energy tells time how to change I Force tells momentum how to change ( F and E ) I Work tells energy how to change ( F and pc )
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Consequences of the Equations of Motion The equations are just a little different, but they lead to some very significant changes: I Space and time are no longer separate I Lengths, time measurements, and masses all depend on the motion of the observer
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Learning Outcomes Today we will discuss: I Problems with Distance and Time I Velocity Addition Formula I Rest, Kinetic, and Total Energies I Creation and Annihilation of Particles I Problems with Energy and Momentum
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Problems
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Problem #1 I How fast must a particle be traveling for its half-life to be twice as long as when it’s at rest? γ = 1 p 1 - β 2 = 2 p 1 - β 2 = 1 2 1 - β 2 = 1 4 β 2 = 3 4 β = 0 . 866
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I A space ship is 20 m long, as measured by a passenger on board the ship. How long does it appear to an observer passing at 80% of the speed of light? γ
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Class24HO - Class 24 Applying Special Relativity Physics...

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