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12 October, 09:45

Calculate the acceleration due to gravity on the moon. the radius of the moon is about 1.74 x 106 m and its mass is 7.35 x 1022 kg.

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  1. 12 October, 11:46
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    Given: Radius of the Moon Rm = 1.74 x 10⁶ m

    Mass of the Moon Mm = 7.35 X 10²² Kg

    Universal Gravitational constant G = 6.67 X 10⁻¹¹ N. m²/Kg²

    Required: acceleration due to gravity g = ?

    Formula: g = GMm/Re²

    g = (6.67 x 10⁻¹¹ N. m²/Kg²) (7.35 x 10²² Kg / (1.74 x 10⁶ m) ²

    g = 4.90 x 10¹² N. m²/Kg/3.0 x 10¹² m²

    g = 1.63 m/s²
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