Satellite and gravitational fields

Question

Question 1: At what height above the surface of the earth would a space station require to orbit if its orbital period is 18 hrs?

Question 2: A space probe orbits an asteroid. The orbital radius is 6.42 x 10⁵ m. At this distance the gravitational field strength is 1.5 x 10^­2 N/kg. Detremine the mass of the asteriod?

Question 3: Compute the gravitational field strength on the surface of mars. Mars has a radius of 3.43 x 10⁶ m and a mass of 6.37 x 10²³ kg.

Question 4: At what distance from the Earth’s surface is the gravitational field strength 7.33 n/kg?

Question 5: On the surface of Planet X an object has a weight of 63.5 N and a mass of 22.5 kg. Find out the gravitational field strength on the surface of Planet X?