Why do the units in e=mc^2 all work out for such a clean equation?

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I might just be stupid because math is not my strong suit, but it seems like the fact that metric units are able to convert between mass and energy so cleanly is astounding. Especially since the metric system was invented so long before relativity, meaning these units were obviously not designed with this in mind.

What’s am I missing here? Is it possible to write an equivalent equation for imperial units?

In: Mathematics

27 Answers

Anonymous 0 Comments

It’s pretty simple when you realize that kinetic energy is defined as (1/2)mv^2. So we have units of mass times velocity squared on the left, and mass times velocity squared on the right.

This also isn’t unique to metric. You can use whatever unit system you want. You could measure mass in elephants and speed in football fields per second, and it would still be valid.

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