The gravitational force between two objects can be calculated using the formula:
F = G * (m1 * m2) / r^2
where F is the gravitational force, G is the gravitational constant (6.67430 x 10^-11 N·(m/kg)^2), m1 and m2 are the masses of the objects, and r is the distance between the objects.
In this problem, we have two objects with the same mass of 220 kg, so we can simplify the formula to:
F = G * (m^2) / r^2
where m = 220 kg.
Plugging in the given values, we get:
4.3 x 10^6 N = 6.67430 x 10^-11 N·(m/kg)^2 * (220 kg)^2 / r^2
Solving for r, we get:
r^2 = (6.67430 x 10^-11 N·(m/kg)^2 * (220 kg)^2) / (4.3 x 10^6 N)
r^2 = 2.702 x 10^-5 m^2
Taking the square root of both sides, we get:
r = 0.0052 m
Therefore, the distance between the two objects is 0.0052 meters (or 5.2 millimeters).