Review. (a) If it has enough kinetic energy, a moleculeat the surface of the Earth can

Chapter 21, Problem 72

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Review. (a) If it has enough kinetic energy, a moleculeat the surface of the Earth can escape the Earths gravitationin the sense that it can continue to move awayfrom the Earth forever as discussed in Section 13.6.Using the principle of conservation of energy, showthat the minimum kinetic energy needed for escapeis m0gRE, where m0 is the mass of the molecule, g isthe free-fall acceleration at the surface, and RE is theradius of the Earth. (b) Calculate the temperature forwhich the minimum escape kinetic energy is ten timesthe average kinetic energy of an oxygen molecule.

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