The gravitational force between two objects depends on their masses and the distance between them. The formula for gravitational force is:
F = G * (m1 * m2) / r^2
where F is the gravitational force, G is the gravitational constant, m1 and m2 are the masses of the objects, and r is the distance between them.
Since the two objects have the same mass, the equation simplifies to:
F = G * (m^2) / r^2
where m is the mass of each object.
The force will be greatest when the distance between the objects is smallest. Therefore, the greatest gravitational force will be exerted at a distance of 2 meters.