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Unformatted text preview: Problems: Due Thurs, 9/15/2011 1. (medium. Classical Relativity and Space Time Diagrams .) According to an observer on earth a ticking time bomb at x = 0 starts ticking at time t = 0. Five seconds later the bomb explodes. splitting into two pieces which move at a speed of 30m/s in opposite directions . Another observer (observer B ) on an airplane moves at 100 m/s in the positive x direction relative to earth. Still another observer (observer C ) moves at 20 m/s in the negative x direction relative to earth. (a) Draw a cartoon of the process as seen by someone on earth and observers B and C . (b) Determine the velocity of the bomb, and the fragments as measured by observer B (c) Determine the velocity of the bomb, and the fragments as measured by observer C (d) There are two events. The start of the clock and the exploding of the bomb. Determine the space time coordinates of these two events as measured by B (e) Determine the space time coordinates of these two events as measured by C . (f) There are three objects moving with there own worldlines. The bomb, the rightmoving fragment, and the left moving fragment. Determine the equation of motion of these three objects according to earth (g) Determine the equation of motion of these three objects according to B . (h) Determine the equation of motion of these three objects according to C . (i) Draw a space time graph for the earth observer (j) Draw a space time graph for this process according to B (k) Draw a space time graph for this process according to C 2. (easy. Basic Relativity and Taylor Series ) An atomic clock is placed in a jet airplane. The clock measures a time interval of 1000 s when the jet moves with a speed of 300 m/s....
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 Fall '11
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