263ps02 - 3. Shankar, problem 4.2.5 pg. 80. 4. Shankar,...

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Physics 263: Problem Set #2 These problems are due at the end of the day on Monday, April 11. 1. Shankar, problem 1.6.4, pg. 26. Let’s restate part of the problem this way: given that v/c ranges from - 1 to 1, let’s define θ by v/c = tanh( θ ). Then you’ll want to observe that because of the hypertrig identity for tanh( θ 1 + θ 2 ), the rule for relativistic addition of velocities ( v 3 = ( v 1 + v 2 ) / (1 + v 1 v 2 )) is equivalent to the simple rule θ 3 = θ 1 + θ 2 . 2. Shankar, problem 8.1.2, pg. 209.
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Unformatted text preview: 3. Shankar, problem 4.2.5 pg. 80. 4. Shankar, problem 4.3.3 pg. 85. 5. There will be a tutorial worksheet to hand in. 6. Morin 11.11 (Equal speeds) p. 551 7. Morin 11.13 (Equal transverse speeds) p. 551 8. Morin 11.20 (Throwing on a train) p. 553 9. Morin 11.36 (Triplets) p. 557 10. Morin 11.42 (Tunnel fraction) p. 559 11. Morin 11.53 (Angled photon) p. 561 12. (BONUS) Morin 11.57 (Bullets on a train)...
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