Classical Mechanics Level 5

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 \(R_e=6371km\).

  • The mass of the Earth is \(M_e = 5.972\times 10^{24} kg \)

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


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