posted by joey on .
4(a) What is the magnitude of the gravitational force of the Earth on a surveillance
satellite of mass 1040 kg that is in a grazing circular orbit 100 km above the
surface of the Earth.
(b) Find the magnitude of the acceleration of a satellite in such a grazing orbit.
(c) Determine the speed of the satellite.
Take the mass and radius of the Earth as 5.98 × 1024 kg and 6.37 × 106 m
The gravitational constant
G =6.67•10⁻¹¹ N•m²/kg²,
Earth’s mass is M = 5.98•10²⁴kg,
Earth’s radius is R = 6.37 •10⁶ m.
(a) F =G•m •M/(R+h)²
(b) a= G• M/(R+h)²
(c) mv²/(R+h) = G•m •M/(R+h)²