gravitational force and acceleration

Question

The mass of the earth is approximately 5.98 x 10^24 kg and that of the moon is 0.0123 times as great. The mean distance between them is 3.84 x 10^5 km. a) Compute the gravitational force of attraction for each other. b) Find the acceleration of each that is produced by this force.

Answer 1

F = GMm/r²= 6.67E-11*5.98²E48*.0123/3.84²E16 = 2E22 a)

a_earth= F/M= .0333 m/s²

a_moon=F/m= 2.71 m/s²