1. (20 points) a) Consider a star with the same mass as our sun but with a different radius. To escape this star an object launched from its surface needs a speed equal to the speed of light (3 x 10 m/s). What is the radius of this star? b) A satellite with mass m = 600kg is launched into orbit from Earth's surface. If the satellite travels in a circular orbit with speed v = 6500m/s what was the speed of the satellite when it was launched from Earth's surface? c) A comet with mass m = 2 x 10 kg travels near Earth such that the magnitude of its angular momentum is L = 5 x 1020kgm?/s when it is as close as possible to Earth. If the comet is 73.62 x 105m above the surface of Earth at this time can the comet escape Earth or will it return? Ignore any other sources of gravity