According to Newton’s Law of universal gravitation, the attractive force F between two bodies is given by

.

Where are masses of two bodies.

distance between two bodies.

gravitational constant .

Let be the mass of the object.

The mass of the earth is .

The mass of the moon is .

The distance from earth to moon  is .

Suppose  is the distance between this object and earth, is the mass of the object,

and are the masses of the earth and moon, respectively.

Distance between the object and the moon is or .

Then the inequality can be written as :

.

Subustiute the values of , , in the obtained inequality.

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