TO solve the force of attraction between the Earth and the Moon we use Newton's Law of Gravitation.

The gravitational force between two objects of mass m1 and m2 placed a distance d apart is m1*m2*G*r^2, where G is the universal gravitational constant.

So now the mass of the moon is 7.35E+22 Kg. Mass of the Earth is 5.98E+24 Kg. The Gravitational constant is 6.67E-11 nt-m2/Kg2.

The distance between the Earth and the Moon is 3.85E+08 m

Therefore the gravitational force of attraction between the Earth and the Moon is:

6.67* 10^-11 nt-m^2/Kg^2 * 7.35*10^22 kg* 5.98*10^24 kg *(3.85E+08) ^2 m^2

= 1.98* 10^20 N

**So the force of attraction between the Earth and the Moon is 1.98* 10^20 N.**

We'll write the Universal Law of Gravitation:

Fg = G*Mm*Me/r^2 (1)

Mm and Me are the masses of the moon and the Earth.

r^2 is the orbital radius that express the distance between the moon and the Earth.

G = 6.67*10^-6 dyne cm^2/g^2

Mm = 7.35*10^25 g

Me = 5.96*10^27 g

r = 3.84*10^10 cm

We'll substitute the values in the expression (1):

Fg = (6.67*10^-6)*(7.35*10^25)(5.96*10^27)/(3.84*10^10)^2

**Fg = 2*10^25 dynes**