RMPh 2011, Експеримент — Задача 3
Romanian Master of Mathematics and Sciences 2011 Physics Section · 2 т.
Условие
Well, by now you most probably figured it out already what that unknown phenomenon was. The guys back on Earth sent you a message informing you that you were subject to the practical joke played on any new commander, a sort of “space baptism” tradition. They intentionally desynchronized your watches upon your departure, in order to lead you into believing that you are traveling at a speed close to that of the light, and consequently make you hope in a short and pleasant voyage (not to mention the Twin Paradox). In fact your speed is quite nonrelativistic, so you are in for a looong and boooring trip!
l. In what manner and by how much did they alter the readings of your clocks? What is your real speed with respect to the reference frame of the Earth? [1 т.]
m. So in the end is this new method of describing relativistic phenomena correct or not? And is there anything inconsistent in this last part of the story (besides the fact that it is chronically lacking in talent)? [1 т.]
Отговори
l.
Clocks set forward by +02:00, +04:00, +06:00 and +08:00 in rockets B–E relative to rocket A.
Решение
l. (1p)
Starting from the clock in rocket A, the clocks in the following rockets were set forward by +02:00, +04:00, +06:00, and +08:00 respectively.
m. (1p)
The method is absolutely correct and the relativistic effects are perfectly consistent with the nonrelativistic desynchronization of the clocks, with the only exception that in this last case the undetermined phenomenon is no longer an electromagnetic pulse, the velocity of light being much much greater (instead it might be a cosmic snail passing by you).
Оригинал в Архива: exp.pdf · официални решения: exp_sol.pdf