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13 May, 21:31

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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  1. 13 May, 21:51
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    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
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