Compute the escape velocity the minimum initial velocity that will take an object to infinity from the surface of a planet of radius R. Explain what is the value for (a) the Earth, R = 6.37 Mm, g = 9.81 m s-2, (b) Mars, R = 3.38 Mm, mMars/mEarth = 0.108. Explain at what temperatures do H2, He, and O2 molecules have mean speeds equal to their escape speeds? Define what proportion of the molecules has enough speed to escape when the temperature is (a) 240 K, (b) 1500 K? Computations of this kind are very important in considering the composition of planetary atmospheres. Require to know Newton's law of universal gravitation F= Gmm'/ r2, noting that G is different from g. In solving this problem you will need to calculate some integrals that cannot be solved analytically.