The gravitational force between two objects does not depend on

The correct option is "Sum of the masses".

To understand why the gravitational force does not depend on the sum of the masses, let's look at Newton's Law of Universal Gravitation.
According to Newton's Law of Universal Gravitation, the gravitational force ($F$) between two objects with masses $m_1$ and $m_2$, separated by a distance $r$, is mathematically expressed as:

$F=G·\frac{m_1·m_2}{r^2}$

Where:
• $F$ is the gravitational force between the two masses.
• $G$ is the universal gravitational constant.
• $m_1$ and $m_2$ are the masses of the two interacting objects.
• $r$ is the distance between the centers of the two masses.

From this mathematical formula, we can see that the gravitational force is:
1. Directly proportional to the product of the masses ($m_1·m_2$).
2. Inversely proportional to the square of the distance between the masses ($r^2$).
3. Dependent on the value of the gravitational constant ($G$).

There is no term in Newton's equation representing the addition or sum ($m_1+m_2$) of the two masses. Therefore, the gravitational force does not depend on the sum of the masses.