A comet of mass 2.0×1012kg is far from the Sun at a distance of 5.0×1011m, where its speed may be taken as negligible. Neglect the gravitational influence of all other bodies.
(a) Calculate the speed of the comet when it reaches a distance of 1.0×1011m from the centre of the Sun.
(b) Determine the kinetic energy of the comet at this nearer point.
(c) Find the escape speed from the Sun at 1.0×1011m and express the comet’s speed as a fraction of this escape speed.