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> If we assume the plane's range is linearly related to it's stored fuel

it's not btw: http://web.mit.edu/16.unified/www/FALL/thermodynamics/notes/...



Ah, but it is if you're running on batteries! Unlike fuel tanks, batteries don't get lighter (at least, not measurably; e=mc^2 tells us that there will be a little change) as you drain them.




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