Determine the magnitude and direction of the gravitational force exerted (a) on the moon by earth and (b) on earth by moon.Earth's mass: 5.98 x...

Any two bodies with a mass attract each other due to the
gravitational force. The force exerted by each body on the other is towards its center
of mass. In the case of spherical bodies the center of mass lies at the geometric
center.

The force by which each of them is attracted towards the other
is the same.

It is given by the Newton's law of universal gravitation
as F = G*M1*M2/r^2, where G is a constant equal to 6.674*10^-11 N m^2/kg^2, M1 and M2
are the mass of the two bodies and r is the distance between
them.

Here the mass of the Earth is 5.98*10^24 kg, the mass
of the Moon is 7.35*10^22 kg and the distance between the Earth and the Moon is 384,399
km.

The force of attraction is: 1.985*10^20
N.

The Earth attracts the moon by a force equal to
1.985*10^22 N towards its center and the Moon does the same in the opposite
direction.