SampleProbs2

SampleProbs2 - Physics 325, Fall 2006 REVIEW QUESTIONS #2...

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Physics 325, Fall 2006 REVIEW QUESTIONS #2 and SOLUTIONS Note: These are practice problems only. No credit will be given for their completion. Review strategy: Make sure you know how to set up each of these problems - grinding out integrals may not be a good use of your time. Look at the formula sheets carefully they should contain what you need to solve the problems. 1) You are driving from Urbana, Illinois, to Chicago in a very fast car, at a speed u : g(. You depart Urbana al t :0 according to the clock in your car and a clock in Champaign. The car has a length / (front to back) and height h when it is at rest. The distance to Chicago is D, in a frame at rest with respect to Chicago. Treat Illinois as flat. Don't worry about gravity. (. < D. a) An observer standing beside the road watches you go past a signpost which is attached to the ground. How much time elapses on his clock between the time when the front of your car passes the signpost and when the back of your car passes the signpost? b) How much time elapses on the car's clock between the time when the front of the car meets up with the signpost and when the back of the car meets up with the signpost? c) What is the height of the car, according to the stationary observer? d) How much time elapses on the clock in Chicago while you are traveling? e) How much time elapses on the car's clock while yoii'are traveling? f) A truck passes you up at a speed uz: \zc, in the reference frame moving with the car. How fast is the truck going according to a ground-based observer? g) Draw a spacetime diagram of your trip in the frame of someone at rest with respect the ground. Indicate the paths in spacetime of Champaign, Chicago, your car, and the truck. Draw a spacetime diagram in the frame moving with the truck, showing the same spacetimes paths. 2) For photons, E : pc. A photon of .n.rgy E is traveling
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SampleProbs2 - Physics 325, Fall 2006 REVIEW QUESTIONS #2...

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