Gravitational Force Factors

The gravitational force ($F$) between two objects is governed by Newton's Law of Universal Gravitation. The formula is:

$ F = G \frac{m_1 m_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
• $r$ is the distance between the centers of the two objects

Analyzing Force Changes

Based on the formula, the gravitational force depends directly on the product of the masses ($m_1 m_2$) and inversely on the square of the distance ($r^2$) between them.

• Effect of Mass: If the product of the masses ($m_1 m_2$) increases, the gravitational force ($F$) increases directly. For example, increasing either $m_1$ or $m_2$ will increase $F$.
• Effect of Distance: If the distance ($r$) increases, the gravitational force ($F$) decreases because it is inversely proportional to $r^2$. Conversely, decreasing the distance increases the force.
• Effect of Medium: Gravitational force is independent of the medium between the objects. Keeping masses in water does not change the gravitational force between them.

Therefore, the gravitational force increases when the product of their masses increases.