consider transmuting every atom on earth into a given element via nuclear fusion or fission. which target elements require net energy? which release net energy? earth has a lot of iron, so transmuting to most elements will probably require energy.
how do the energies compare to the gravitational binding energy of the earth? previously.
these should be easy to compute: look up nuclear binding energies. we need to know the elemental and isotopic composition of the earth, which surprisingly is known despite us never having taken a core sample. probably estimated from meteorites, though I don't know the details.
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