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# quiz1 - PHYSICS 2D PROF HIRSCH QUIZ 1 FALL QUARTER 2008 L =...

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PHYSICS 2D QUIZ 1 FALL QUARTER 2008 PROF. HIRSCH OCTOBER 10, 2008 Formulas : Time dilation; Length contraction: " t = # " t ' \$ # " t p ; L = L p / # ; c = 3 % 10 8 m / s Lorentz transformation: x ' = " ( x # vt ) x = " ( x ' + vt ') y'= y , z'= z " = 1 1 # v 2 / c 2 y = y', z = z' t ' = " ( t # vx / c 2 ) t = " ( t ' + vx '/ c 2 ) Spacetime interval: ( " s ) 2 = ( c " t ) 2 -[ " x 2 + " y 2 + " z 2 ] Relativistic Doppler shift : f obs = 1 + v / c 1 ! v / c f source (approaching) Momentum: r p = " m r u ; " = 1 1 # u 2 / c 2 ; E = p 2 c 2 + m 2 c 4 Kinetic energy: K = ( " # 1) mc 2 Total energy : E = " mc 2 Rest energy : E 0 = mc 2 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 Justify all your answers to all problems Problem 1 (10 points) C B v=0.6c A A spaceship moves at speed v=0.6c with respect to the ground. An observer on the ground (point A) measures the time interval between the front of the spaceship (point B) and the back of the spaceship (point C) flying by him to be 1 μ s (10 -6 s). (a) As measured on the spaceship, how much time passed since the instant the front of the spaceship (B) passed by A and the back of the spaceship (C) passed by A?

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