hw2 - will its clock gain or lose as compared to...

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PHYS126 Spring 2011 Homework 2 Due Feb 18, beginning of lecture. 1. An airline, all the planes fly with an airspeed of 500km/h, serves three cities, A, B and C, where B is 500km due east of A, and C is 500km due north of A. On a certain day, there is a steady wind of 100km/h blowing from the east to the west. (a) What is the time needed for a round trip from A to B and back? (b) What is it from A to C and back? 2. Explain, in words, equations or diagram, why simultaneity can be universal in the classical framework of Galileo and Newton, BUT NOT in Einstein’s Theory of Relativity. 3. Beiser (textbook), Chapter 1, Exercise 6. 4. A space vehicle travels at 300,000m/s relative to the earth. How much time
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Unformatted text preview: will its clock gain or lose, as compared to earth-based clocks, when one day passes on earth? 5. A group of π mesons (pions) is observed traveling at speed 0.9 c in a particle physics laboratory. (a) What is the factor γ for the pions? (b) Pions’ proper half-life is 8 1.8 10 s-× (measured in the frame in which the Pion is at rest). What is their half-life as observed in the lab frame? (c) If there were initially 64000 pions, how many will be left after they have traveled 72m? (d) What would be the answer to (c) if time dilation is ignored? (Hint: Q1 is a classical mechanics problem, but you need special relativity to answer Q2-Q5.)...
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