Estimate the radius of the cylindrically shaped crater that such a comet creates when it strikes the Moon. Assume that the crater, of depth 10 km, is formed by heating to 3,500 K, and thus vaporizing, a cylindrical volume of moon rocks. Moon rocks are made of silicates, which have molecular weights of ∼ 30 (i.e., ¯m ∼ 30 mH), and mean solid densities ρ ∼ 2 g/cm3 . Ignore the latent heat required to melt and vapourize the rocks, and the energy involved in vapourizing the comet itself. Hint: equate the kinetic energy of the comet with the thermal energy of the vapourized rocks.
The kinetic energy is: 1.094364616*10^23 Joules
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