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quiz3formulas

# quiz3formulas - PHYSICS 2D QUIZ 3 SPRING QUARTER 2008 PROF...

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Unformatted text preview: PHYSICS 2D QUIZ 3 SPRING QUARTER 2008 PROF. HIRSCH MAY 2nd, 2008 Formulas : Time dilation; Length contraction: " t = # " t ' \$ # % ; 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, energy (total, kinetic, rest): p ¡ = # mu ¡ ; E = # mC 2 ; K = ( # ¢ 1) mC 2 ; 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 Force on charge q in r E and r B fields : r F = q ( r E + r v " r B ) ; centripetal acceleration = v 2 / R Stefan's law : R = " T 4 , R = power/unit area ; " = 5.67 # 10 \$...
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