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Gravitational force is repulsive when the moon is far from the earth.
Gravitational force is attractive and maximum when the moon is far from the earth.
Gravitational force is attractive and maximum when the moon is close to the earth.
Gravitational force is attractive and maximum when the moon is far from the earth.

Gravitational force is attractive and maximum when the moon is far from the earth.
The gravitational force between the earth and the moon is always an attractive force, as gravity is inherently attractive. By Newton's law of gravitation, this force is inversely proportional to the square of the distance between them, meaning it is maximum when the moon is closest to the earth (at perigee) and minimum when it is farthest (at apogee).
The gravitational force between the earth and the moon is always an attractive force, as gravity is inherently attractive. By Newton's law of gravitation, this force is inversely proportional to the square of the distance between them, meaning it is maximum when the moon is closest to the earth (at perigee) and minimum when it is farthest (at apogee).
Think of two magnets pulling each other together: when they are brought closer, the magnetic pull becomes noticeably stronger, and when moved further apart, the pull weakens. Similarly, gravity always pulls (never pushes) and becomes stronger at closer proximity.
GRAV-ATTRACT: Gravitationally, objects ALWAYS attract, never repel!
F=r2Gm1тАЛm2тАЛтАЛ тАФ Newton's Law of Universal Gravitation
FтИЭr21тАЛ тАФ Inverse-square law relationship
According to Newton's Law of Universal Gravitation, every particle attracts every other particle with a force proportional to the product of their masses and inversely proportional to the square of the distance between their centers. The formula is F=r2Gm1тАЛm2тАЛтАЛ. Since mass remains constant, as the distance r decreases, the gravitational force F increases, reaching its maximum value when the distance is minimum.
Gravitational force is always attractive between any two masses in the universe.
It never acts as a repulsive force under standard Newtonian mechanics.
When the moon is closest to the earth (perigee), the distance r is smallest, making the gravitational force maximum.
When the moon is farthest from the earth (apogee), the distance r is greatest, making the gravitational force minimum.
Explanation of ocean tides on Earth caused by the Moon's gravitational pull
Orbital motion of the Moon around the Earth
G=6.674├Ч10тИТ11┬аN┬аm2┬аkgтИТ2 (Universal Gravitational Constant)
Option A and B are incorrect because gravitational force is never repulsive.
Option C is incorrect because the force is maximum when closest, not minimum when far.
D is correct тАФ Gravitational force is attractive and maximum when the moon is close to the earth.
Remember that electrostatic and magnetic forces can be attractive or repulsive depending on charges and poles, but gravitational force between masses is ALWAYS attractive!