finalformulas - Copy (2)

finalformulas - Copy (2) - PHYSICS 2D FINAL EXAM WINTER...

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Unformatted text preview: PHYSICS 2D FINAL EXAM WINTER QUARTER 2011 PROF. HIRSCH MARCH 14th, 2011 Formulas : Time dilation; Length contraction: " t = # " t ' $ # " t p ; L = L p / # ; c = 3 % 10 8 m / s Lorentz transformation: x ' = " ( x # vt ) ; y '= y ; z '= z ; t ' = " ( t # vx / c 2 ) ; inverse: v $- v Spacetime interval: ( " s ) 2 =( c " t ) 2-[ " x 2 + " y 2 + " z 2 ] Velocity transformation: u x ' = u x " v 1 " u x v / c 2 ; u y ' = u y # (1 " u x v / c 2 ) ; inverse: v $- v Relativistic Doppler shift: f obs = f source 1 + v / c / 1 " v / c (approaching) Momentum: r p = " m r u ; Energy: E = " mC 2 ; Kinetic energy: K = ( " # 1) mC 2 Rest energy: E = mc 2 ; E = p 2 c 2 + m 2 c 4 Electron: m e = 0.511 MeV / c 2 Proton: m p = 938.26 MeV / c 2 Neutron: m n = 939.55 MeV / c 2 Atomic mass unit : 1 u = 931.5 MeV / c 2 ; electron volt : 1eV =1.6 " 10-19 J Stefan's law : e tot = " T 4 , e tot = power/unit area ; " = 5.67 # 10 $ 8 W / m 2 K 4 e tot = cU /4 , U = energy density = u ( , T ) d $ ; Wien's law : m T = hc 4.96 k B...
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finalformulas - Copy (2) - PHYSICS 2D FINAL EXAM WINTER...

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