Question

1 what happens to the gravitational force between two objects if their masses are doubled but the distance between them remains the same?
the gravitational force increases.
the gravitational force decreases.
the gravitational force stays the same.
the gravitational force becomes zero.
clear all

Explanation:

The gravitational force between two objects is given by Newton's law of universal gravitation: $F = G\frac{m_1m_2}{r^2}$, where $G$ is the gravitational constant, $m_1$ and $m_2$ are the masses of the two objects, and $r$ is the distance between them. If both masses are doubled (so new masses are $2m_1$ and $2m_2$) and the distance $r$ remains the same, the new force $F' = G\frac{(2m_1)(2m_2)}{r^2}=G\frac{4m_1m_2}{r^2} = 4F$. So the gravitational force increases.

Answer:

The gravitational force increases.