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18 August, 10:01

The moon is a satellite that orbits the earth at a radius of 3.85 * 108 m. The mass of the earth is 5.98 * 1024 kg. What is the orbital speed of the moon?

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  1. 18 August, 11:45
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    The orbital velocity of the moon is, V = 1018 m/s

    Explanation:

    Given data,

    The radius of the moon's orbit, R = 3.85 x 10⁸ m

    The mass of the Earth, M = 5.98 x 10²⁴ kg

    The formula for orbital velocity is,

    V = √ (GM/R²)

    Substituting the values,

    V = √ (6.673 x 10⁻¹¹ x 5.98 x 10²⁴ / 3.85 x 10⁸)

    = 1018 m/s

    Hence, the orbital velocity of the moon is, V = 1018 m/s
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