Describe how the gravitational force between two objects depends on the distance between them.

We know the formula of the gravitational force of attraction between two objects.

$F=G\frac{m_1m_2}{r^2}$

Here, $F\rightarrow$gravitational force

$G\rightarrow$gravitational constatnt

$m_1\rightarrow$mass of the first object

$m_2\rightarrow$ mass of the second object

$r\rightarrow$distance between the two object

If we double the distance between the two objects, the force fo  attraction $F=G\frac{m_1m_2}{(2r)^2}$

$=\frac{1}{4}\times G\frac{m_1m_2}{r^2}$

Therefore, on doubling the distance between the two objects, the gravitational force of attraction becomes one-fourth.

If we half the distance between the two objects, the gravitational force of attraction is as:

$F=G\frac{m_1m_2}{(\frac{r}{2})^2}$

Or $F=4\timesG\frac{m_1m_2}{r^2}$

Therefore, if the distance between the two objects is reduced to its half, the gravitational force between the object becomes four times.

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Updated on: 10-Oct-2022

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