What is the minimum amount of energy required to irreversibly blow up our lovely planet into smithereens?

Details and assumptions

  • Input your answer in Joules

  • Model the Earth as sphere of uniform volume density composed of tiny neutral pieces of mass.

  • The radius of the Earth is Re=6371kmR_e=6371km.

  • The mass of the Earth is Me=5.972×1024kgM_e = 5.972\times 10^{24} kg

  • Newton's gravitational constant is G=6.673×1011m3kg1s2G=6.673\times10^{-11} m^3 kg^{-1} s^{-2}


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