作者xiaoa (沒有靈魂的人)
看板NTUSFA
標題Re: 兩題物理問題
時間Wed Jun 4 21:59:52 2008
※ 引述《outlook2 (容)》之銘言:
: ※ [本文轉錄自 StarTrek 看板]
: 作者: outlook2 (容) 看板: StarTrek
: 標題: 兩題物理問題
: 時間: Wed Jun 4 01:13:19 2008
: Modern Problems of Classical Electrodynamics
: Special Relativity
以下都是個人直覺
: (1)
: Data and the emperor of Ferengi are locked in a deadly battle of Wheel of
: Fortune starring Vanna White, who has been travelling around the earth at
: nearly the speed of light for centuries to stay young. Vanna is in an orbit
: 100 light second from earth with Data and the Ferengi nearby, while the host,
: Darth Vader, on loan from another studio, is on earth. When Vanna gives the
: contestants the last question, the Ferengi emperor attempts to cheat by
: speeding towards the Earth at a speed of 0.99c while he is thinking, so that
: when he radios his answer to Darth Vadar, it will arrives first. However, he
: forget that when travelling at nearly the speed of light, his thinking slows
: down due to time dilation. Data takes 10 seconds and the Ferengi takes 12
: seconds to answer, each according to their own clock, so it takes, for
: example, 110s for Data's answer to reach Darth Vadar.
: Question: Does the cheating pay? That is, will the emperor's answer reach
: earlier? Please present all the calculations and derivations.
時間的遲滯只發生在"""觀察者"""所看到相對運動中的"被觀察者"身上
現在,觀察者是Vadar.如果Data是跟著Vadar運行,那它們的相對運動是非常小的,也就是
10秒鐘沒有延時.
Ferengi自己的計時是12秒,架設在沒有相對關係的空間中,他跑了12光秒,Vadar也繞行
軌道12光秒,非常小的軌道弧度,為方便計算,我假設Vadar幾乎沒有運動,只有Ferengi對
他做0.99c的相對運動.
不必考慮相對論,單是考慮Ferengi移動12秒,就已經話了12秒.之後Ferengi的答案也花
了近12秒才來到Vadar這邊.也就是至少24秒的做答時間...
: (2)
: A truce has been arranged between the Federation and the Romulans. According
: to the treaty, the first captain to fire in an engagement is EXECUTED! The
: evidence is as below. Captain Picard suddenly detects a Romulan ship as it
: begins to uncloak itself, and realized that it is hostile! The strength of
: the emmision shows that the Romulan ship is 1000 light second away so it must
: have fired its photon torpedo (assume it travels at light speed). The
: Enterprise immediately fired its own photon torpedo. 100 seconds later,
: Enterprise is hit. Some time later (in the coordinate system of Enterprise),
: the Romulan ship was also hit. Both ships travels at constant speed during
: the engagement. Both ships were disabled, and a court of inquiry was
: convented. The two captains agreed on the facts above, but each argued,
: based on their e-logs, that the other fired first. Is it possible that both
: are telling the truth, at least in their respective coordinate system? If
: so, what is the minimum speed between them and what is the direction (either
: toward each other or away from each other)? If not, who shall be executed?
依我的直覺,
假設他們同時在距離1000光秒,第0秒時發射
如果沒有相對運動,發射訊號在1000秒後到達,那他們不可能預先發射了
如果相對以光速靠近,訊號在500秒後到達,在這500秒內,他們會看到對方船上 負一千~0秒
所發生的事
如果以2倍光速靠近,訊號在1000/3=333秒後到達.這333秒,觀察對方船上 -1000~0秒事件
999倍光速,訊號在1000/(999+1)=1秒後..仍然不是在第0秒之前....orz
______________________________________________________________
接下來和上面的問題無關.
我個人認為.以為光速運動就能讓時間無限延長,只是個天大的笑話,純屬個人信念
1st,當在'被觀察者'遠離時,'觀察者'看到發生在'被觀察者'身上的事件,例如一個呼吸
就是好久好久.但是要考慮'被觀察者'在準備返回時做減速運動,至反向的光速返回,這時
大部分的時間就會被補償回來(逆時間延長!).然後一直到回到出發點,就會全補償回來...
2nd,相對論既然自稱為相對論,說明的不只是時間空間的相對關係,也是要考慮到運動者的
相對關係,所以我一開始就說了'觀察者'和'被觀察者'.相對而言,兩者關係完全可以對調
那如果光速運動確實讓人不老化,就會有年輕的我看年老的你,說怎麼我變老了,你卻依然
年輕
相對論告訴我們的是,我們無法為光速運行的物體加速,因為它的相對質量是無限大
--
以上是普物相對論章節考試趨近0分的傢伙的意見. 歡迎挑戰 XDD
--
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→ charli:經過妳這麼一寫,我更相信這根本跟科幻討論無關... 06/04 22:11
推 Athelan:請問這是在回應甚麼東西呀..... 06/04 22:51
推 Athelan:話說今天物理剛好上狹義相對論(夢碎) 06/04 23:00
→ xiaoa:回大菜,當我們看科幻故事、影片,總希望不要太唬爛。所以討論 06/04 23:37
→ xiaoa:科學比不違背科幻 06/04 23:38
推 outlook2:xiaoa大,謝謝您XD 我只是想幫人傳話兼交流XD 06/04 23:42
→ outlook2:我擅自轉到其他版去,您不介意吧? XD 06/04 23:42
推 charli:x大固然說的對,但是有物理版,為什麼不交給專家呢? 06/04 23:45
→ charli:這就是我質疑的地方,也許有人只是想亂槍打鳥,看看有沒有 06/04 23:46
→ charli:人解答。他下面回應更證實只是理論物理上的探討。 06/04 23:47
→ xiaoa:回DJ,1)加速度也是會造成時間延長,所以也有躲到黑洞的說法 06/04 23:52
→ xiaoa:2)相對角色關係的問題沒有解決,我看你光速,你看我亦是光速 06/04 23:53
→ charli:轉錄文章,標題也至少要標明轉錄吧? 06/04 23:54
→ charli:剛剛看到其他版文章,都沒寫是轉錄... 06/04 23:55
→ xiaoa:回out,隨便...我覺得我說的還蠻缺乏說服力的 = = 06/04 23:59
推 outlook2:還是加載[轉錄]的好,是我不對... 06/05 00:03
推 lukehong:我的相對論 還給校長了... 06/05 00:44