A satellite of mass 6500 kg orbits the earth in a circular orbit of radius of 7.5 106 m (this is above the earth's atmosphere). the mass of the earth is 6.0 1024 kg. what is the speed of the satellite?

Question

Physics

Enrique

28 August, 14:41

A satellite of mass 6500 kg orbits the earth in a circular orbit of radius of 7.5 106 m (this is above the earth's atmosphere). the mass of the earth is 6.0 1024 kg. what is the speed of the satellite?

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Johanna · Answer 1

The two forces, centripetal force and gravity are equal

So, G M m / r^2 = (m V^2) / r

so sqrt (GM/r) = V

G is a gravitational constant which is G=6,67.10exp (-11)

Sqrt (6.67 x 10^-11) (6 x 10^24) / 7.5 x 10^6

so V = 7.30479295e9 or 7305 m/s