A satellite orbiting the moon very near the surface has a

Question

Solve the all parts of following problem:

Problem: A satellite orbiting the moon very near the surface has a period of 110 min. Use this information, together with the radius of the moon r=1.74 × 10⁶ m, to calculate the free-fall acceleration on the moon's surface.

Part A: What is the moon's acceleration due to gravity?

Part B: At what height above the earth is the free-fall acceleration 10 % of its value at the surface? Assume R earth = 6.37 × 10⁶ m.

Part C: What is the speed of a satellite orbiting at that height? Assume M earth = 5.98 × 10²⁴ kg.

Please give a full detailed explanation of solution. Thanks.