PHY2D_Quiz1

# PHY2D_Quiz1 - (c What is the length of spaceship A as...

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QUIZ 1 PHYSICS 2D SPRING QUARTER 2009 Professor S.K.Sinha Formulas Lorentz Transormation: ! x = " ( x # vt ) ! y = y ! z = z ! t = " ( t # vx / c 2 ) Inverse Lorentz Tranformation: x = ! ( " x + v " t ) y = " y z = " z t = ! ( " t + v " x / c 2 ) Relativistic transformation of velocities ! u x = ( u x " v ) / (1 " u x v / c 2 ) ! u y = u y / # (1 " u x v / c 2 ) Inverse Transformation: u x = ( ! u x + v ) / (1 + ! u x v / c 2 ) u y = ! u y / " (1 + ! u x v / c 2 ) Relativistic Doppler Effect: f obs = 1 + v / c 1 ! v / c f source ( approaching ) 1. Two spaceships A and B pass each other in opposite directions, each traveling at a speed of 0.5c relative to an observer on Earth. The

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passenger in spaceship A measures the length of his own ship to be 100m and the length of the oncoming spaceship B to be 30m. (a) What is the speed of B relative to A? (b) What is the length of spaceship B as measured by a passenger on B?
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Unformatted text preview: (c) What is the length of spaceship A as measured by B? (15 pts) 2. A Physics Professor teaching PHY 2D is giving a Quiz to his class who are on a spaceship moving at velocity v relative to him. He starts the Quiz when the class’s position and his position coincide. If he wants to stop the Quiz after a time T (spaceship time), show that he must send a light signal to his proctors (traveling on the ship) at time on his clock T = T 1 ! v / c 1 + v / c (Allow for the time taken for the light signal from the professor to the spaceship). (10 pts)...
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