Question

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.

Answer 1

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