作者Honor1984 (希望愿望成真)
看板Physics
标题Re: [题目] 一题相对论的题目
时间Mon Sep 16 10:39:34 2013
※ 引述《William8182 (自由羽翼)》之铭言:
: [领域]相对论 (题目相关领域)
: [来源]极想知道解答的作业题目(很怕教授不检讨><) (课本习题、考古题、参考书...)
: [题目] When O' is passing O with speed v,an explosion occurs at point P(x)in
: frame O.If the explosion emits a particle with speed u, then it arrives at
: O at a later time t=x/u. (a) In frame O, when will O' detect the particle?
在O'观测的量有'
在O没有
设二座标架重合时x=x'=0=t=t'
vT = x -uT
=> T = x/(v + u)
: (b)In frame O', when will O' detect the particle? (c) In frame O', where does
(b)
t' = r(T - v(vT)/c^2)
= rT(1/r^2) = (1/r)T
: the explosion occur, P'(x'=?) (d)If you subtract from answer (b) the time for
(c)
x' = r(x - v(0)) = rx
: the particle to travel from P'(x') to O' in frame O', you would get the time
: t' at which the explosion occurs as observed by O'. Please do so and what
: is your answer?
(d)
u' = -(u + v)/[1 + vu/c^2]
delta T' = x'/u'
所以在O'中explosion发生在(1/r)T - x'/u'
: 其实题目本来有图,但抱歉我不知道怎麽弄上来><
: 是说照着题目叙述应该没有图部会差太多...
: 这题我想超久但始终不太确定解题的逻辑,拜托各位帮忙了m(_ _)m
: [瓶颈] (写写自己的想法,方便大家为你解答)
: 我在劳伦兹转换这里卡了很久...
: 而且事实上我自己也不知道这题要不要用劳伦兹转换
: 或是为什麽要用劳伦兹转换...
: 感觉我好像是再被题目而没有真正了解相对论的意涵QQ
: 拜托大家了><
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1F:→ Honor1984:第三行的x x'是指座标架origin 不是爆炸地点 09/16 13:09