Question

The mass of moon is 1/81 times the mass of the earth. The gravitational force of attraction F1 on the moon due to earth and force F2 on the earth due to moon are in the ratio of??

Answer 1

Answer:

The gravitational force of attraction F1 on the moon due to earth : Force F2 on the earth due to moon = 1:1

Explanation:

Mass of earth =  M 

Mass of moon = m.

Let the distance between moon and earth = r

Force exerted by earth on moon= $F_{EM} =\frac{GMm}{r^{2} }$

Force exerted by moon on earth=$F_{ME} =\frac{GMm}{r^{2} }$

                                        $F_{ME} : F_{EM} =1:1$

This can also be solved by newton's 3rd law of motion.

Answer 2

Explanation:

mass of earth = M

mass of moon =m

suppose

distance between earth and moon = r

Force exert by earth on moon = GMm/r^2

Force exert by moon on earth = GMm/r^2

Fme:Fem = 1:1