Quiz - PHYSICS 2D QUIZ 1 WINTER QUARTER 2011 PROF HIRSCH JANUARY 14th 2011 Formulas Time dilation Length contraction Δ t = γ Δ t γ Δ t p L

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Unformatted text preview: PHYSICS 2D QUIZ 1 WINTER QUARTER 2011 PROF. HIRSCH JANUARY 14th, 2011 Formulas: Time dilation; Length contraction: Δ t = γ Δ t ' ≡ γ Δ t p ; L = L p / γ ; c = 3 × 10 8 m / s Lorentz transformation: x ' = γ ( x − vt ) x = γ ( x ' + vt ') y'= y , z'=z γ = 1 1 − v 2 / c 2 y = y', z =z' t ' = γ ( t − vx / c 2 ) t = γ ( t ' + vx '/ c 2 ) Spacetime interval: ( Δ s ) 2 =( c Δ t ) 2-[ Δ x 2 + Δ y 2 + Δ z 2 ] Relativistic Doppler shift: f obs = f source 1 + v / c / 1 − v / c Momentum: r p = γ m r u ; Energy: E = γ mc 2 ; Kinetic energy: K = ( γ − 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 Justify all your answers to all problems. Write clearly. Problem 1 (10 points) spaceship Ulysses v=0.866c Penelope Ulysses departs on a spaceship going at speed 0.866c, leaving Penelope behind. After one year of travel (according to his clock), he lights up a candle to mark the occasion.year of travel (according to his clock), he lights up a candle to mark the occasion....
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This note was uploaded on 04/12/2011 for the course PHYS 2D taught by Professor Hirsch during the Winter '08 term at UCSD.

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Quiz - PHYSICS 2D QUIZ 1 WINTER QUARTER 2011 PROF HIRSCH JANUARY 14th 2011 Formulas Time dilation Length contraction Δ t = γ Δ t γ Δ t p L

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