How to think about gravity - Jon Bergmann

如何理解萬有引力 - Jon Bergmann

449,855 views ・ 2012-09-17

TED-Ed


請雙擊下方英文字幕播放視頻。

00:00
Transcriber: Ido Dekkers Reviewer: Ariana Bleau Lugo
0
0
7000
譯者: Ambrose Lam 審譯者: Geoff Chen
00:14
So what is gravity?
1
14000
2000
萬有引力是甚麼?
00:16
I bet most of you think it's:
2
16000
2000
我想你們大多會想起:
00:18
"What goes up,
3
18000
2000
“上了去的東西
00:20
must come down!" Is that right?
4
20000
4000
一定會跌下來!” 哈,對了
00:24
Well, sorta, but not really.
5
24000
2000
唔,差不多吧,但不完全如此
00:26
Technically, the law of gravity is an equation.
6
26000
3000
學術上,萬有引力是一條公式
00:29
It is: F = G x M1 x M2 / R^2,
7
29000
4000
如果F等於G乘M1乘M2除以R的平方
00:33
where G is the universal gravitational constant,
8
33000
3000
而G是萬有引力常數
00:36
M1 and M2 are the masses of the two objects,
9
36000
2000
M1和M2是兩個物體的質量
00:38
and R is the distance between them squared.
10
38000
2984
R是它倆的距離的平方
00:40
That was easy, right?
11
40984
1477
這個容易,對嗎?
00:42
Probably not. What does this actually mean?
12
42461
2539
也許不。但這公式是甚麼意思?
00:45
Well it means that - well, everything is attracted to everything else.
13
45000
5000
它的意思是:任何物體都會互相吸引
00:50
What I mean by that is if you have two objects, any two objects,
14
50000
4584
這句話的意思是如果你有兩個物體,任何兩物體
00:54
they are attracted to each other. OK.
15
54584
2416
它們會互相吸引。
00:57
Let's try and wrap our minds around this.
16
57000
2000
好,讓我們專心想想
00:59
What happens when you drop a rock off a cliff?
17
59000
2000
當你從懸崖掉下一塊石頭,會出現甚麼情況?
01:01
It falls to the earth. Right?
18
61000
2676
這石會跌落地面,對嗎?
01:03
Well, yes, but something else happens.
19
63676
3400
嗯,對的。但還有其他事情發生
01:07
You see, the law of gravity says that both objects,
20
67076
2924
你看,萬有引力定律說兩個物體
01:10
the rock and the earth, are attracted to each other.
21
70000
4046
即石頭和地球,會互相吸引
01:14
This means that the rock falls towards the earth,
22
74046
1954
意思是石頭會跌向地球
01:16
and the earth falls towards the rock.
23
76000
3323
而地球會跌向那石頭
01:19
Wait a second - you mean to tell me that if - the earth falls up to meet the rock?
24
79323
5184
等一等--你意思是 地球會迎着石頭向上跌嗎?
01:24
Yes, that's exactly what I'm saying.
25
84507
2554
是的,我的意思正是這樣
01:27
And the reason you don't see the earth fall up to meet the rock
26
87061
2692
你看不到地球迎着石頭往上跌的原因
01:29
is because the objects move towards each other proportionate to their respective masses.
27
89753
4247
是因為兩個物體會按 它們質量的比例向對方移動
01:34
The earth is much much much more massive than the rock,
28
94000
3830
地球的質量比石頭多得很
01:37
so it moves a very very small distance,
29
97830
2970
所以它只移動了一個非常小的距離
01:40
and the rock is much less massive, so it moves farther
30
100800
3492
而石頭的質量小的多,因此它相對於地球而言
01:44
with respect to the earth.
31
104292
2092
移動得遠一點
01:46
Maybe a better way to understand gravity is to take two teenagers
32
106384
3000
可能更容易明白萬有引力的方法,是叫兩個小伙子
01:49
in spacesuits, and place them far out in space - away from all the planets and the stars.
33
109384
3616
穿上太空衣,然後放他們在外太空,遠離所有行星和恆星
01:53
It turns out they will be attracted to each other.
34
113000
3000
我們會發現他倆會互相吸引
01:56
I'm not talking about that kind of attraction.
35
116000
3000
我說的不是這種吸引力
01:59
See, they have mass, and since they have mass,
36
119000
3000
看,他們有質量,而由於他們有質量
02:02
they will move towards each other.
37
122000
2000
他們會移近對方
02:04
They are attracted to each other.
38
124000
3000
他們會被互相吸引
02:07
Maybe one more thing might help. Have you ever played with two magnets?
39
127000
3000
或許另一樣東西會有幫助 你試過玩兩塊磁石嗎?
02:10
You know, the magnets with the north and the south poles?
40
130000
2000
就是有南極和北極的磁石
02:12
When you take the magnets and put them closer to each other,
41
132000
3000
當你把兩塊磁石移近對方
02:15
they move together. They are attracted to each other.
42
135000
3000
它們會連接起來,它們會互相吸引
02:18
And the closer they are, the stronger the attraction.
43
138000
3000
它們的距離越近,吸引力越大
02:21
Think of the mass of the object like the strength of a magnet
44
141000
3000
試把物體的質量想為磁石的長度
02:24
and the distance between the objects like the distance between the two magnets.
45
144000
4753
而物體的距離就像兩塊磁石之間的距離
02:28
Now understand, I'm not saying that gravity and magnetism are the same,
46
148753
3247
要明白,我不是說萬有引力和磁力是一樣的東西
02:32
they just behave in a similar way.
47
152000
3000
只不過它們有類似的行為
02:35
Let's think of one other thing - astronauts.
48
155000
2784
讓我們想想另一樣東西--太空人
02:37
You know, astronauts, they weigh less on the moon
49
157784
1969
你知道,太空人在月球上的體重
02:39
than on the earth. Why is that?
50
159753
2445
較在地球上較輕。為甚麼呢?
02:42
Well you see, the moon is less massive than the earth.
51
162198
3802
你看,月球的質量較地球小得多
02:46
Therefore it has a smaller gravitational pull on the astronaut.
52
166000
3000
因此它對太空人的引力便較小
02:49
It's like the moon is a weaker magnet.
53
169000
2000
就好像月球是一塊較弱的磁石
02:51
They aren't as attracted to each other.
54
171000
2000
它們之間的吸引力沒那麼大
02:53
Distance also plays a role. Think back to playing with a magnet.
55
173000
3615
距離也有影響。回想把玩磁石的時候
02:56
The pull of the magnets towards each other
56
176615
2385
磁石間的吸引力
02:59
are stronger when they are closer together. The same is true of gravity.
57
179000
4000
在它們較接近對方時較大 同樣情況也適用於萬有引力
03:03
For example, the sun is the most massive object near the earth.
58
183000
3000
例如,太陽是地球附近質量最大的物體
03:06
It dictates most of the gravitational forces in our solar system.
59
186000
3861
它操控了我們太陽系內的大部份萬有引力
03:09
It is very very massive. But it is relatively far away,
60
189861
4400
它的質量非常龐大。但由於它相對較遠
03:14
so even though the sun is a much stronger magnet, so to speak,
61
194261
3677
因此可以說太陽是一塊強得多的磁石
03:17
it is a long ways away.
62
197938
2062
但是它離我們很遠
03:20
Therefore the attraction isn't as strong.
63
200000
3000
因此它的吸引力不那麼強
03:23
So let's look back at that law of gravity.
64
203000
2183
讓我們回看萬有引力定律
03:25
The equation: F = G x M1 x M2 / R ^2.
65
205183
4817
這公式:F等於G乘M1,M2,除以R的平方
03:30
You see the force of gravity is equal to a number.
66
210000
3261
你看到萬有引力相等於一個數字
03:33
That's that universal gravitational constant G
67
213261
2739
那就是萬有引力常數G
03:36
times the mass of object one, times the mass of object two.
68
216000
3415
乘第一個物體的質量,再乘第二個物體的質量
03:39
Think of M1 being the mass of the sun
69
219415
2585
設想M1是太陽的質量
03:42
and M2 being the mass of the earth.
70
222000
2553
而M2是地球的質量
03:44
And then we divide by the distance between them squared.
71
224553
3447
然後我們除以它們之間距離的平方
03:48
This determines the force of attraction between the sun and earth.
72
228000
3000
便計算出太陽和地球之間的萬有引力
03:51
You could just as easily plug in your mass
73
231000
3000
你也可以代入你自己的質量
03:54
and the earth's mass and the distance between you and the center of the earth,
74
234000
5061
和地球的質量,和你和地心之間的距離
03:59
and find out how much you are attracted to the earth,
75
239061
1939
從而得出你被吸引往地球的力
04:01
and the earth attracted to you.
76
241000
2000
和地球被你吸引的力
04:03
So, what's gravity?
77
243000
2000
究竟萬有引力是甚麼?
04:05
Everything is attracted to everything else.
78
245000
3000
任何東西之間都會互相吸引
04:08
Everything. Oh, one last thing,
79
248000
3000
任何東西。噢,我忘了一件事
04:11
just to make you wonder. What causes gravity?
80
251000
3000
我想你想想。萬有引力的成因是甚麼?
04:14
Why are two objects with mass attracted to each other?
81
254000
3338
為甚麼兩個有質量的物體會互相吸引?
04:17
Well, the answer is -
82
257338
2662
嗯,答案是
04:20
We don't know.
83
260000
1184
我們不知道
04:21
The cause of gravity remains a mystery to scientists.
84
261184
2816
萬有引力的成因對科學家來說仍是個謎
04:24
We don't really know conclusively what causes gravity.
85
264000
4492
我們真的未能確實知道萬有引力的成因
04:28
It is one of the great mysteries of science.
86
268492
3692
這是科學界其中一個大奧秘
關於本網站

本網站將向您介紹對學習英語有用的 YouTube 視頻。 您將看到來自世界各地的一流教師教授的英語課程。 雙擊每個視頻頁面上顯示的英文字幕,從那裡播放視頻。 字幕與視頻播放同步滾動。 如果您有任何意見或要求,請使用此聯繫表與我們聯繫。

https://forms.gle/WvT1wiN1qDtmnspy7