Your starship, the Aimless Wanderer, lands on the mysterious planet Mongo. As chief scientist-engineer, you make the following measurements: A 2.50-kg stone thrown upward from the ground at 12.0 m/s returns to the ground is 8.00 s; the circumference of Mongo at the equator is 200 X 10' k/n; and there is no appreciable atmosphere on Mongo. The starship commander, Captain Confusion, asks for the following information:
(a) What is the mass of Mongo?
(b) If the Aimless Wanderer goes iota a circular orbit 30,000 k/n above the surface of Mongo, how many hours will it take the ship to complete one orbit?