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