Question

which change will always result in an increase in the gravitational force between two objects? increasing the masses of the objects and increasing the distance between the objects decreasing the masses of the objects and increasing the distance between the objects increasing the masses of the objects and decreasing the distance between the objects decreasing the masses of the objects and increasing the distance between the objects

Explanation:

Step1: Recall gravitational - force formula

The gravitational force formula is $F = G\frac{m_1m_2}{r^2}$, where $F$ is the gravitational force, $G$ is the gravitational constant, $m_1$ and $m_2$ are the masses of the two objects, and $r$ is the distance between the centers of the two objects.

Step2: Analyze the relationship between variables

From the formula, $F$ is directly proportional to the product of the masses $m_1m_2$ (i.e., when $m_1$ and $m_2$ increase, $F$ increases) and inversely proportional to the square of the distance $r^2$ (i.e., when $r$ decreases, $F$ increases).

Answer:

Increasing the masses of the objects and decreasing the distance between the objects.