Question

Find the magnitude of the gravitational force a 68.4 kg person would experience while standing on the surface of earth with a mass of 5.98 à 1024 kg and a radius of 6.37 à 106 m. the universal gravitational constant is 6.673 à 10â11 n · m2 /kg2 . answer in units of n.

Answer 1

Given: Mass of a person M = 68.4 Kg.

           Mass of earth Me = 5.98 x 10²⁴ Kg

           Radius of earth r = 6.37 x 10⁶ m

           G = 6.67 x 10⁻¹¹ N.m²/Kg²

Required: F = ?

Formula: F = GMeM/r²

               F = (6.67 x 10⁻¹¹ N.m²/Kg²)(5.98 x 10²⁴)(68.4 Kg)/(6.37 x 10⁶ m)²

               F = 672.41 N