有沒有哲學考試的八卦 - 宅男行不行
![Zenobia avatar](/img/woman-glasses.jpg)
By Zenobia
at 2011-11-05T10:51
at 2011-11-05T10:51
Table of Contents
: 我在看TBBT時 sheldon說他做了個夢
: sheldon: 我夢見我變成100倍大的巨人,但我周遭的事物也同樣變大100倍
: leonard: 既然你周遭的事物也一起變大,你怎麼發覺你變成巨人?
: sheldon: 我看了我褲子的size,寫著原本100倍的的尺寸號碼
覺得這段對話非常不像Sheldon
因為組成人體的原子體積(電子雲範圍)根本無法等比例放大
就算考慮原子可以等比例放大
但是帶電量不變的狀況下
那麼電磁力會因為電子和原子核的距離變遠而變小
最後會使原子分崩離析
先假設放大100倍是指體積放大100倍(長度放大約4.64倍)
同時這表示了質量也會跟著放大100倍
考慮到最簡單的牛頓重力
Mm
F=G──
2
r
' '
' M m ' ' '
F =G─── M =100M m =100m r =4.64r
'2
r
'
F =464.48F
最最最起碼重力加速度g會放大4.6448倍(因為地球等等等的體積也跟著放大100倍了)
而假設放大100倍是指長度放大100倍(由褲子尺碼推出結果)
這就表示體積增加了1000000倍(100^3)
質量也一樣增加了1000000倍
也表示重力加速度g也變為原來的1000000倍喔
這麼明顯的差距Sheldon還需要看褲子尺碼才分辨的出來?!
--
: sheldon: 我夢見我變成100倍大的巨人,但我周遭的事物也同樣變大100倍
: leonard: 既然你周遭的事物也一起變大,你怎麼發覺你變成巨人?
: sheldon: 我看了我褲子的size,寫著原本100倍的的尺寸號碼
覺得這段對話非常不像Sheldon
因為組成人體的原子體積(電子雲範圍)根本無法等比例放大
就算考慮原子可以等比例放大
但是帶電量不變的狀況下
那麼電磁力會因為電子和原子核的距離變遠而變小
最後會使原子分崩離析
先假設放大100倍是指體積放大100倍(長度放大約4.64倍)
同時這表示了質量也會跟著放大100倍
考慮到最簡單的牛頓重力
Mm
F=G──
2
r
' '
' M m ' ' '
F =G─── M =100M m =100m r =4.64r
'2
r
'
F =464.48F
最最最起碼重力加速度g會放大4.6448倍(因為地球等等等的體積也跟著放大100倍了)
而假設放大100倍是指長度放大100倍(由褲子尺碼推出結果)
這就表示體積增加了1000000倍(100^3)
質量也一樣增加了1000000倍
也表示重力加速度g也變為原來的1000000倍喔
這麼明顯的差距Sheldon還需要看褲子尺碼才分辨的出來?!
--
Tags:
宅男行不行
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