If the distance is reduced by 1/2 and the masses don't change, then the force will increase by (2²) to 180,000 N .
Answer:
The gravitational force between the two objects if the distance between the objects is reduced by one half is 180000 N.
Explanation:
Given that,
Gravitational force = 45000 N
We need to calculate the gravitational force between the two objects
If the distance between the objects is reduced by one half
We know that,
The gravitational force is equal to the product of the masses of the both objects divided by the square of the distance between the objects.
In form of formula
[tex]F=\dfrac{Mm}{r^2}[/tex]
[tex]45000=\dfrac{Mm}{r^2}[/tex].....(I)
If the distance between the objects is reduced by one half
Then, the gravitational force will be
[tex]F'=\dfrac{Mm}{(\dfrac{r}{2})^2}[/tex]....(II)
From equation (I) and (II)
[tex]\dfrac{45000}{F'}=\dfrac{\dfrac{Mm}{r^2}}{\dfrac{Mm}{(\dfrac{r}{2})^2}}[/tex]
[tex]\dfrac{45000}{F'}=\dfrac{1}{4}[/tex]
[tex]F=180000\ N[/tex]
Hence, The gravitational force between the two objects if the distance between the objects is reduced by one half is 180000 N.
