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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10-01-2018
Physics

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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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samuraijack samuraijack · Answer 1 · 2018-01-13T13:05:28+01:00

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