QUESTION IMAGE
Question
- what happens to gravity the farther apart things are?
Step1: Recall gravitational force formula
The gravitational force $F$ between two objects is given by $F = G\frac{m_1m_2}{r^2}$, where $G$ is the gravitational - constant, $m_1$ and $m_2$ are the masses of the two objects, and $r$ is the distance between their centers of mass.
Step2: Analyze the effect of distance
As $r$ (the distance between the objects) increases, the denominator $r^2$ of the formula $F = G\frac{m_1m_2}{r^2}$ gets larger. Since $G$, $m_1$, and $m_2$ are constant, the value of the gravitational force $F$ decreases.
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The gravitational force between the things decreases as they get farther apart.