The average distance separating Earth and the Moon (center to center) is 384 000 km.The average distance separating Earth and the Moon (center to...

Lol...ur in college man...w/e here's my answer.

The net gravitational force is the difference from the gravitational force from the Earth and the gravitational force from the Moon.

We also know the distance between the ship and the moon equals the distance between the ship and the earth, which is 192000km, or 1.92x10⁸m.

F=G●m1●m2 / r²

for the Earth:
F=G●m1●m2 / r²
F=(6.67428x10¯¹¹N (m/kg)²)●(5.98x10²⁴kg)●(3.00x10⁴kg) / [(1.92x10⁸m)²]
F=32.48063x10¹N or 324.8063N;

for the Moon:
F=G●m1●m2 / r²
F=(6.67428x10ˉ¹¹N (m/kg)²)●(7.36x10²²kg)●(3.00x10⁴kg) / [(1.92x10⁸m)²]
F=39.97616x10ˉ¹ or 3.997616N;

The net gravitational force then would be:
324.8063-3.997616
=320.808684 or 3.20808684x10²N

Assuming all the numbers in the question is given to 3 significant digits, the answer should be rounded to 3 significant digits too, which would be 3.21x10²N.

Final answer: 3.21x10²N towards / from the Earth