※ 引述《William8182 (自由羽翼)》之銘言： : [領域]相對論 (題目相關領域) : [來源]極想知道解答的作業題目(很怕教授不檢討><) (課本習題、考古題、參考書...) : [題目] 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'觀測的量有' 在O沒有 設二座標架重合時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發生在(1/r)T - x'/u' : 其實題目本來有圖,但抱歉我不知道怎麼弄上來>< : 是說照著題目敘述應該沒有圖部會差太多... : 這題我想超久但始終不太確定解題的邏輯,拜託各位幫忙了m(_ _)m : [瓶頸] (寫寫自己的想法，方便大家為你解答) : 我在勞倫茲轉換這裡卡了很久... : 而且事實上我自己也不知道這題要不要用勞倫茲轉換 : 或是為什麼要用勞倫茲轉換... : 感覺我好像是再被題目而沒有真正了解相對論的意涵QQ : 拜託大家了>< --

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