A Satellite of Mass 500 Kg Orbits the Earth with a Period

Short Answer

A satellite of mass 500 kg orbits the earth with a period of 6,000 s. The earth has a mass of 5.97 × 10²⁴ kg, a radius of 6.38 × 10⁶ m, and G = 6.67 × 10^-11 N ∙ m²/kg².
(a) Calculate the magnitude of the earth's gravitational force on the satellite.
(b) Determine the altitude of the satellite above the earth's surface.