Centripetal force due to earth on moon is ____ proportional to the square of the distance between them.

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Detailed Solution

Centripetal force due to the earth on the moon is inversely proportional to the square of the distance between them.
The law of gravitation states that every object attracts every other object on the earth with force directly proportional to the masses of both objects and inversely proportional to the square of the distance between them.
It is given by the formula

\Rightarrow F = G \frac{m 1 m 2}{r^{2}}

Where

G

is the gravitational constant,

m_{1}

and

m_{2}

are the masses of the objects, and

r

is the distance between the objects.
Thus, the centripetal force due to the earth on the moon is inversely proportional to the square of the distance between them.

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