Question

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?

Answer 1

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.