Two objects attract each other with a gravitational force of magnitude 9.20*10^-9 N when separated by 19.2 cm. If the total mass of the objects is 5.01 kg, what is the mass of each?

The gravitational force between two objects may be calculated by the equation,

F = G x (m1 x m2) / d²

where G is universal gravitational constant, m1 and m2 are the masses of two bodies and d is the distance between them. Substituting the known values,

9.20 x 10^-9 = (6.673 x 10^-11) (5.01 kg x m2) / (0.192m) ²

The value of m2 is approximately 1.01 kg.