Two objects attract each other with a gravitational force of magnitude 1.0 x 10-8N when separated by 20.0 cm If the total mass of the object is 5.0 kg what is the mass of each?

m1 + m2 = 5 kg

F = 1 x 10-8 N

G = 6.67 x 10-11 N m2/kg2

r = 0.2 m

F = (Gm1m2) / r2

1 x 10-8 N = (6.67 x 10-11 N m2/kg2)(m1)(5-m1)

divide by 6.67 x 10-11 N m2/kg2

6 = 5m1 - m12

m12 - 5m1 + 6 = 0

(m1 - 3)(m1- 2) = 0

m1 = 3 kg

m2 = 2 kg