Final answer:
The distance between the planet and its moon is approximately 2.2 x 10^5 meters.
Step-by-step explanation:
The gravitational force between two objects can be calculated using the equation:
F = G * (m1 * m2) / r^2
Where F is the force, G is the gravitational constant (6.674 × 10^-11 N m^2/kg^2), m1 and m2 are the masses of the objects, and r is the distance between them.
In this case, we have a planet with a mass of 5 x 10^20 kg and its moon with a mass of 4 x 10^12 kg. The force between them is given as 5.336 x 10^7 N. Using the equation, we can solve for the distance:
5.336 x 10^7 = (6.674 × 10^-11) * (5 x 10^20) * (4 x 10^12) / r^2
Simplifying the equation, we find that the distance between the planet and its moon is approximately 2.2 x 10^5 meters.