ph1bA_08_q1s

ph1bA_08_q1s - Ph1b Analytic Quiz 1 Solution Chefung Chan

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Chefung Chan (cchan@caltech.edu), Winter 2008 Problem 1 (10 points) Arocketsh ipo flength L 0 (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 =0 ,the nose of the rocket ( x 0 = 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 0
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This note was uploaded on 04/28/2010 for the course PH 1b Anal taught by Professor Mckewn during the Winter '08 term at Caltech.

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ph1bA_08_q1s - Ph1b Analytic Quiz 1 Solution Chefung Chan

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