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  • E=mc^2 may be the most famous equation in the worldbut what you might not know is

    E=mc^2可能是世界上最著名的方程式... 但你可能不知道的是:

  • that it isn't the whole story. It just describes objects that have mass and that aren't moving.

    它不是全部的故事。它只是描述了有品質的物體,而這些物體並沒有移動。

  • The full equation is E, squared, equals m c squared, squared, plus p times c, squared,

    全式為E,平方,等於m c平方,平方,加上p乘以c,平方。

  • where p represents the momentum of the object in question. This might all seem a bit confusing,

    其中p代表有關物體的動量。這似乎有點令人困惑。

  • but in fact you can draw it as a right triangle with sides E, m c squared, and p times c - and

    但其實你可以把它畫成邊長為E、m c平方、p乘以c的直角三角形--而

  • just use the pythagorean theorem (a squared plus b squared equals c squared) to give you

    只需用畢達哥拉斯定理(a平方加b平方等於c平方)就可以得到。

  • the equation.

    等式。

  • Also, from here it's clear to see that for an object that isn't moving and thus doesn't

    另外,從這裡可以清楚地看到,對於一個不移動的對象,是以不'。

  • have any momentum and thus p is zero, we get back our good ole' friend E=mc2. On the other

    有任何動量,是以p為零,我們又回到了我們的好朋友E=mc2。另一方面

  • hand, if the particle in question is massless (like light), then mass is zero and we get

    手,如果有關粒子是無品質的(如光),那麼品質為零,我們得到

  • E equals p times c. This tells us that the energy of a massless particle (like a photon

    E等於p乘以c。

  • of light) is the same as its momentum (up to a factor of the speed of light).

    的光)與它的動量相同(最多為光速的一個係數)。

  • In fact, the closer the energy of something is to p times c, the closer that something

    事實上,某物的能量越接近p乘以c,該物就越接近

  • is to behaving like light (I mean, look here, this tiny little bit of mass is hardly mass

    是表現得像光一樣(我的意思是,看這裡,這一點點的品質幾乎不是品質

  • at all).

    根本沒有)。)

  • Anyway, as an example, an object's velocity is equal to the speed of light times the ratio

    總之,舉個例子,一個物體的速度等於光速乘以比例。

  • of the object's momentum to energy - or pc over E. If your momentum increases, p times

    物體的動量與能量的比值--或pc超過E,如果你的動量增加,p乘以

  • c gets closer and closer to equaling your energy, so their ratio gets closer and closer

    c越來越接近等於你的能量,所以他們的比例越來越接近。

  • to being one, and your speed gets closer and closer to light speed. But because of that

    到成為一個,你的速度越來越接近光速。但正因為如此

  • tiny little bit of mass, the momentum side of the triangle will always be a little bit

    一點點的品質,三角形的動量邊總會有一點點的

  • smaller than the energy side. No matter how hard you try to increase your momentum, it

    小於能量方面。無論你如何努力地增加你的動力,它

  • never quite gets to the point where p times c equals your energy, and thus your velocity

    永遠不會達到p乘以c等於你的能量,從而等於你的速度的地步。

  • can never quite reach the speed of light, all because the hypotenuse of a right triangle

    永遠也達不到光速,這都是因為直角三角形的斜邊

  • is longer than its legs.

    是比它的腿長。

E=mc^2 may be the most famous equation in the worldbut what you might not know is

E=mc^2可能是世界上最著名的方程式... 但你可能不知道的是:

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