[題目] 狹相的問題

[SakuraiJJ (櫻井俊傑)]

[領域]  Special Relativity

[來源]  Midterm Exam

[題目]  Sally and Sam's spaceship (each of proper length 230m) pass each other

with constant speed v.  Sally measures a time interval of 3.57x10^-6 sec for

Sam's ship to pass her.  What's the relative Beta(=v/c) between Sally and Sam?

[瓶頸]  我的想法是，先做Lorentz's transformation算出Sally看Sam的長度L'，所以

Sam pass Sally的時間就是(L'+230m)/v = 3.57x10^-6 sec；由此算出Beta。但是題目是

說proper length = 230m，所以我搞不太懂230m到底是Lorentz's轉換前還是轉換後的長

度；也就是說我不知道是要用羅倫茲轉換算Sally看Sam移動中的長度，還是要由移動中轉

換到靜止長度。麻煩板上強者幫忙了，謝謝。

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※ 編輯: SakuraiJJ       來自: 118.171.115.116      (12/03 22:14)