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You need to include the units, else that doesn't make much sense - many physicists use units such that c = 1.

In this case the units (for speed²) you want are m²/s² = J/kg



The fun thing is, the units are basically unimportant! A factor of 10^3 or two is peanuts on 10^17. Humans have just as terrible intuitions about 10^14 and 10^11 as they do about 10^17.


The error is 10^17, not 10^3. Units are important.




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