the earth and the moon are attached to each other by gravitational force. dose the earth attract the moon with a force that is greater or smal or the same as the force with which the moon attract the earth? why?
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Answer:
Let m and M be the mass of moon and earth respectively which are separated by a distance r
Force of attraction that earth exert on moon, F
e
=
r
2
GMm
Force of attraction that moon exert on earth, F
m
=
r
2
GmM
Thus earth attracts the moon with same force by which moon attracts the earth.
Also the gravitational force is an internal force of attraction between the two bodies, thus they have to be equal.
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