✔ 最佳答案
Gravitational potential = - GM/R
where G is the Universal Gravitational Constant
M is the mass of the object (either earth or moon)
R is the distance from the object.
Let 2r be the distance between the moon and the earth, thus
gravitational potential at the mid-point due to earth
= - GMe/r
where Me is the mass of earth
gravitational potential at the mid-point due to the moon
= - GMm/r
where Mm is the mass of the moon
The resultant gravitational potential
= - GMe/r - GMm/r = - (G/r)(Me+Mm)
try to substitute the corresponding values and calculate the answer.
[you better check the given data, the moon is by no means heavier than earth]