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19 January, 14:34

A satellite is orbiting earth at a distance of 35.0 kilometers. The satellite has a mass of 500 kilograms. What is the force between the planet and the satellite?

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  1. 19 January, 14:36
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    F = 4856.32 N

    Explanation:

    Given,

    A satellite is orbiting earth at a distance from Earth surface, h = 35000 m

    The mass of the satellite, m = 500 Kg

    The radius of the Earth, R = 6.371 x 10⁶ m

    The mass of the Earth, M = 5.972 x 10²⁴ Kg

    The gravitational constant, G = 6.67408 x 10 ⁻¹¹ m³ kg⁻¹ s⁻²

    The force between the Earth and the satellite is given by the formula

    F = GMm / (R+h) ² N

    Substituting the values in the above equation

    F = (6.67408 x 10 ⁻¹¹ X 5.972 x 10²⁴ X 500) / (6.371 x 10⁶ + 35000) ²

    = 4856.32 N

    Hence, the force between the planet and the satellite is, F = 4856.32 N
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