Problem 4. The following data about the earth is known: Mass of the earth Radius of the earth Mean radius of the earth's orbit (= 1 astronomical unit, or AU) Period of the earth's motion about the sun (= 1 earth year) Based on this data, calculate: (a) the gravitational acceleration on the surface of the earth (Show calculation!); (b) the mass of the sun (Show calculation!); 5.98 x 10 kg 6.38 x 10 m 1.49 x 10 m 365 days and 6 hours (c) the gravitational force (weight) acting on an astronaut of mass 60 kilograms when she is in a spacecraft located at a distance of 2.5 earth radii from the earth's surface; (d) the orbital speed and period of a satellite that circles the earth with an orbital radius of 3 carth radii.