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30 September, 19:18

A satellite of mass 4500 kg orbits the Earth in a circular orbit of radius of 7.2 * 106 m (this is above the Earth's atmosphere). The mass of the Earth is 6 * 1024 kg. What is the speed of the satellite?

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  1. 30 September, 19:48
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    7.457 * 10³ m/s

    Explanation:

    Parameters given:

    Mass of earth, M = 6 * 10^24 kg

    Radius of orbit, R = 7.2 * 10^6 m

    Orbital velocity is given as:

    v = √ (GM/R)

    Where G = gravitational constant

    v = √ (6.673 * 10^ (-11) * 6 * 10^24) / (7.2 * 10^6)

    v = √ (5.561 * 10^7)

    v = 7.457 * 10³ m/s
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