A small meteor of mass 1 kg is sailing into our solar system from outer space, and at one instant in time is 5x109 km away from the sun.

a) What velocity in m s-1 must the meteor have in order that it could eventually escape from the sun's gravity?

b) Suppose instead that the meteor is moving such that it goes in a circular orbit around the sun. What velocity must the meteor have for this to happen?

c) How would your answers to parts a) and b) change if the meteor had a mass of 1000 kg (a ton) instead?