# mhw2 - Problems 5.4 5.6 from relativity book(1 1 The...

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Problems: 5 . 4 , 5 . 6 from relativity book (1) 1. The wording of problem 5 . 4 is confusing. The are several things that move along world lines. A is the space-time trajectory or world line of the front of the barn. B is the world line of the the back of the barn. Q is the world line of the front of the pole. P is the world line of the back of the pole. Your space time graphs should show these world lines, as observed by both observers. There are several events: you E 1 the front of the pole reaches the front of the barn, i.e. Q coincides with A E 2 the front of the pole reaches the back of the barn, i.e. Q coincides with B E 3 the back of the pole reaches the back of the barn. Yours space time graph should show these events. 2. (medium) Two events occur at the same time according to an observer A and are separated by a distance of 1 km along the x axis. What is the time difference between these two events according to an observer B moving with constant velocity along the x axis, given that this B observer measures a spatial separation of 2 km. (Ans: β = 3 / 2, Δ t = - 5 . 77 μs ) 3. (hard, important) A rocketship of length 100m, traveling at v/c = 0 . 6 c carries a radio receiver at its nose. A radio pulse is emitted from a stationary space station just as the tail of th rocket passes by.

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