drag each label to the correct location on the chart. based on newtons law of universal gravitation…
drag each label to the correct location on the chart. based on newtons law of universal gravitation, complete the following table. distance increases mass increases distance decreases mass decreases gravity increases when: gravity decreases when: reset next
Answer
Explanation:
Step1: Recall Newton's law of gravitation
The formula for Newton's law of universal gravitation 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 two objects, and $r$ is the distance between their centers of mass.
Step2: Analyze when gravity increases
From the formula, when the mass of the objects ($m_1$ or $m_2$) increases, the numerator $m_1m_2$ increases, and the gravitational force $F$ (gravity) increases. Also, when the distance $r$ between the objects decreases, since $r$ is in the denominator and squared, the value of the fraction $\frac{m_1m_2}{r^2}$ increases, and thus the gravitational force $F$ increases.
Step3: Analyze when gravity decreases
When the mass of the objects ($m_1$ or $m_2$) decreases, the numerator $m_1m_2$ decreases, and the gravitational force $F$ decreases. When the distance $r$ between the objects increases, since $r$ is in the denominator and squared, the value of the fraction $\frac{m_1m_2}{r^2}$ decreases, and the gravitational force $F$ decreases.
Answer:
| Gravity Increases When: | Gravity Decreases When: |
|---|---|
| mass increases, distance decreases | mass decreases, distance increases |