Newton’s Law of Gravitation Chapter 7, Section 3 Pg
Newton’s Universal Law of Gravitation Earth MOON FgFg To keep two moving bodies from shooting off in a straight line, a mutual gravitational force attraction occurs between them. FEmFEm FmEFmE
The amount of gravitational force that occurs between two masses depends on the distance between the two masses. Newton’s universal law of gravitation F g = (G m 1 m 2 ) /r² G = constant of universal gravitation G = x Nm²/kg²
Sample Problem 2 Find the distance between a kg billiard ball and a kg billiard ball if the magnitude of the gravitational force is 8.92 x N. r = ? m 1 = kgm 2 = kg Fg = (G m 1 m 2 ) /r² F g = 8.92 x N r² = (G m 1 m 2 ) / Fg r = √(G m 1 m 2 ) / Fg r = √[6.673 x Nm²/kg² (0.4 kg) (0.3kg)]/8.92x N r = 3.00 x m G = x Nm²/kg²