# Quiz1 - PHYSICS 2D PROF HIRSCH QUIZ 1 FALL QUARTER 2009 OCTOBER 2nd 2009 L = Lp c = 3 10 8 m s Formulas Time dilation Length contraction"t ="t \$"t

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PHYSICS 2D QUIZ 1 FALL QUARTER 2009 PROF. HIRSCH OCTOBER 2nd, 2009 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 ] Justify all your answers to all problems Problem 1 (10 points) spaceship twin B v=0.6c twin A When twins A and B reach their 20th birthday, twin B departs on a spaceship going at speed 0.6c. When the twins reach their 21st birthday according each to their own clocks, they light up candles to celebrate (twin A on the earth, twin B on the spaceship). (a) How old is twin B when she lights up her candle, as shown by clocks on the earth's reference frame? (b) How old is twin A when the light from twin B's candle first reaches him?

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## This note was uploaded on 04/02/2010 for the course PHYS 2D 2D taught by Professor Sinha during the Spring '10 term at UCSD.

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Quiz1 - PHYSICS 2D PROF HIRSCH QUIZ 1 FALL QUARTER 2009 OCTOBER 2nd 2009 L = Lp c = 3 10 8 m s Formulas Time dilation Length contraction"t ="t \$"t

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