quiz1 - PHYSICS 2D PROF. HIRSCH QUIZ 1 SPRING QUARTER 2008...

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PHYSICS 2D QUIZ 1 SPRING QUARTER 2008 PROF. HIRSCH APRIL 11, 2008 Formulas : Time dilation; Length contraction: " t = # " t ' $ % ; 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 = + v / c ! 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: E 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) A C B Spaceships A and B pass each other traveling in opposite directions, both at speed 0.5c with respect to an observer C on the ground. The passenger in spaceship A measures the length of his own ship to be 100m, and the length of spaceship B to be 30m. (a) What is the speed of B relative to A? (b) What is the length of spaceship B measured by the passenger in B?
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This note was uploaded on 07/10/2008 for the course PHYS 2D taught by Professor Hirsch during the Spring '08 term at UCSD.

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quiz1 - PHYSICS 2D PROF. HIRSCH QUIZ 1 SPRING QUARTER 2008...

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