The gravitational force between two objects is F. If the masses of both objects are halved without changing the distance between them, then the gravitational force would become ________.

The gravitational force between two objects varies directly as their masses & inversely as the square of the distance between them. So, when the masses of both objects are halved(1/2) without changing their distance, the gravitational force between them would become ( 1/4th) one-fourth of the original value.