Posted by **joey** on Monday, April 22, 2013 at 3:29pm.

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

respectively.

- physics -
**Elena**, Monday, April 22, 2013 at 4:04pm
The gravitational constant

G =6.67•10⁻¹¹ N•m²/kg²,

h=100000 m

m=1040 kg

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

v=sqrt (G•M/(R+h))

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