6. If an object at the surface of a planet has sufficient speed and is travelling in an appropriate direction, it can escape the gravitational field of the planet. The minimum speed for which this is possible is called the escape speed, v,, given by v, = "Egl-. (Razn = 6370 k) (a) At what temperature does Vg for O equal the escape speed for the earth? (b) At what temperature does v for H; equal the escape speed for the earth? (c) Temperatures in the upper atmosphere reach about 1000 K. Can this account for the low abundance of hydrogen relative to oxygen in the earth's atmosphere? (d) Compare the situation on the moon where gis one-sixth the value on earth and R__, = 1740 km. If the moon had an atmosphere like the earth's, what would happen? Hints: 1. How does the average position of an atom change as its total energy increases? 3. These balloons are made from non-stretching fabric. Helium can be treated as an ideal gas. 5. 5tart by defining or explaining the quantities you are wying to calculate