F=Gm1m2/r^2where:
F is the force between the masses;G is the gravitational constant ( N · (m/kg)2);m1 is the first mass;m2 is the second mass;r is the distance between the centers of the masses.
m1 = mass earth = 5.972 × 10^24 kg
9.1 x 10^4 N = G(5.972 × 10^24 kg)(1.1 x 10^4 kg)/(5.6 x 10^5 m)^2 solve for GG = 4.34x10^-13 N · (m/kg)2