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.
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