Re: [題目] 92台大普物第二題(太空人那題)
[領域] (題目相關領域)
普物
[來源] (課本習題、考古題、參考書...)
台大物理研究所92碩士班考題 第二題
[題目]
The distance of the Sirius, the brightest star, is 8.65 light years away,
the Vega is 26 light years, while the Taurus 65 light years away.
Suppose that an astronaut, in the year of 3000, already has the
technology of making a spaceship near the light velocity,
as nearly as desired, in a matter of days, however,
with a limitation of human body’s sustaining up to 10g with
g the gravitational acceleration on earth.
The astronaut has decided to use exactly 3 years each to visit the Sirius,
the Vega, and the Taurus and come back to the Earth.
Please determine the speeds of the spaceship,
the acceleration and the deceleration periods at the beginning,
at the turn-around, and at the end, using the maximum sustainable
acceleration mentioned in the above.
[瓶頸] (寫寫自己的想法，方便大家為你解答)
這題之前有版友問過，但我想更詳細的討論他。
是這樣的，我使用軟體去查詢後發現
一、題目所給的三個距離都是針對地球來說
二、Sirius Taurus 大致在接近的方向上，但Vega卻完全在另外兩個的反邊
按照順序拜訪的話 總距離(d) = 8.65*2 + 26*2 + 65*2
然後我的計算方式為
d/γ≒d' d'≒3 lys(接近光速要跑三年)
解速度 v t=v/(10g)(加減速時間)
我的問題是這樣的:
如果我不知道那個星的相對可能位置，那這題不就無解了 @@
我自動忽略和近似了很多東西: 折返所花費的距離、以及那個d'
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