Answer:
The acceleration due to gravity decreases when the distance from the center of gravity is doubled. This relationship is described by the inverse square law, which states that the force of gravity between two objects is inversely proportional to the square of the distance between their centers of mass.
When an object is moved to a location twice as far away from the center of gravity, the distance between the centers of mass increases by a factor of two, and the force of gravity acting on the object decreases by a factor of four. Therefore, the acceleration due to gravity (which is equal to the force of gravity divided by the mass of the object) decreases by a factor of four as well.
In other words, the acceleration due to gravity is inversely proportional to the square of the distance from the center of gravity. As the distance from the center of gravity increases, the acceleration due to gravity decreases proportionally.