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

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

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

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

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

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

  • the equation.

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

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

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

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

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

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

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

  • at all).

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

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

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

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

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

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

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

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

  • is longer than its legs.

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

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