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ph1bA_08_q1s - Ph1b Analytic Quiz 1 Solution Chefung...

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Ph1b Analytic Quiz 1 Solution Chefung Chan ([email protected]), Winter 2008 Problem 1 (10 points) A rocket ship of length L (as measured in its own rest frame) moves with velocity v along the +ˆ x direction as observed in the laboratory frame. At time t = t = 0, the nose of the rocket ( x = 0) coincides with the point x = 0 in the lab. At this instant, a light pulse is sent from the nose towards the tail of the rocket. α x L Pulse 1 Pulse 2 ROCKET FRAME: (a) (1 point) Draw the lab frame spacetime diagram of the situation, including the world lines for both the nose and tail of the rocket, and the light pulse. Indicate the events 0 and 1 which correspond to the emission of the pulse and its arrival at the tail of the rocket, respectively. (b) (1 point) What is the length L of the rocket as measured in the lab frame? PS: For convention, we let the light speed c = 1 in the whole problem The length L of the rocket in the lab frame is contracted from the rocket frame by a factor γ = 1 / 1 v 2 , so L = L /γ .
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