• Question: What does e = mc2 mean

    Asked by Memphis to Nicholas, David on 8 Nov 2015.
    • Photo: Nicholas Pearce

      Nicholas Pearce answered on 8 Nov 2015:


      Hey Memphis,

      E=mc2 is perhaps the most famous equation in the world and was formulated by a guy called Albert Einstein (yeah, you’ve probably heard of him, he’s kind of a big deal).

      The equation in words (not symbols) is energy is equal to mass multiplied by the speed of light squared:
      E = energy
      m = mass (the amount of stuff you have)
      c = the speed of light

      So what that means is that energy is mass and mass is energy – they are the same! The equation is usually called mass-energy equivalence to signify this. The speed if light comes in just as a constant – a number that you multiply the mass by to convert it to energy (like to convert meters into centimeters you times by 100). The speed of light is a big number though, and gets even bigger when you square it, so this means that even if you have a small amount of mass, you still have a lot – A LOT of energy.

      If you were able to convert a normal object, like an apple entirely into energy you would get enough to light a bulb for 3 million years! Nuclear bombs work because of this equation and that explains why they are so powerful!

      Bonus:
      If you’re wondering why the speed of light is given the symbol c: I used think it stood for constant (Einstein realised that the speed of light was constant, it didn’t change), but found out a few months ago it stands for celeritas, the latin word for quickness.

    • Photo: David Nunan

      David Nunan answered on 9 Nov 2015:


      Hi Memphis,

      Nicholas has given a great answer so I won’t repeat except to say that it’s been a while since I studied this that I started to think e = mc2 meant energy = milk + coffee!

      An extra bonus (on top of Nicholas’) – to help me remember why these famous equations are important and how they relate them to real life I find it useful to put them in to some sort of context. So using Einsteins famous equation we can work out that the amount of energy in 1 gram of matter is more than the amount of energy released in the atomic bomb that was dropped on Hiroshima in World War 2. Like Nicholas said, that’s a LOT of energy!

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