相對論的題目，拜託高手解釋(20點)

2010-10-08 5:40 am

相對論我幾乎都搞不清楚
什麼時候是哪一個座標系觀察
拜託請解釋的詳細一點
謝謝!!

Observers O and O' are in the relative translational motion with v=0.6c.
They coincide at t=t'=0.

(a)When five years have passed, according to O, how long does O calculate it will take a light to get from O to O'?

(b)When the light signal arrives at O', how much time has elapesd according to O' since O and O' coincided?

更新1:

我不知道你們之間有什麼過節，不過，拜託救救我好嗎?? 由衷的希望你們有把題目仔細看過...

更新2:

書上說第一題答案是7.5 years耶!! 是答案錯了嗎?? 其實我有點搞不清楚題目到底是問從t=0算起還是從5年之後算起...??

回答 (3)

Prof. Physics

2010-10-10 3:12 am

✔ 最佳答案

a. For five years, O' is 0.6 X 5 = 3 light years away from O.

Let T be the additional time required for light to catch up O', according to O.

cT = 3c + 0.6cT

T = 7.5 years

So, according to O, 7.5 + 5 = 12.5 years have passed from t = 0 for light to catch up O'.

b. According to O', time elapsed slower than that elapsed in the reference frame of O.

So, time, T' = gamma X T

= sqrt(1 - 0.6^2) (12.5)

= 10 years

參考: Prof. Physics

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Sunz

2010-10-09 1:50 am

給英雄解釋最適合了

畢竟平凡人當不了超級英雄

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[匿名]

2010-10-08 11:28 am

這種問題對常人來說太深奧

我提名 http://tw.knowledge.yahoo.com/my/my?show=AD04633481

他來解釋

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