The extinction of the dinosaurs is, by one theory, attributed to a collision between Earth and an

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The extinction of the dinosaurs is, by one theory, attributed to a collision between Earth and an asteroid about \(10 \mathrm{~km}\) in diameter moving at \(25 \mathrm{~km} / \mathrm{s}\) relative to Earth. Assume that the asteroid had about the same density as Earth. Estimate the energy released by such an impact in megatons of TNT, where 1 megaton \(=4.2 \times 10^{15} \mathrm{~J}\).

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