Question

If distance is increasrd 4 times then the force will be decreased how many times​

Answer 1

The force will be decreased by a factor of 16.

Explanation:

Given:

The distance is increased 4 times then the force

Solution

The Newton's law of gravitation is states the every particle is attracted by a force. and this force is directly proportional to product of their masses and inversely proportional to the square of distance between their centre and it is written as.

F ∝
`(m_(1)* m_(2))/(r^(2) )`

`F=G(m_(1)* m_(2))/(r^(2) )`

Where G is the gravitational constant.

And
`m_(1), m_(2)` is the mass of the particles.

And r is the distance between the particles.

If distance is increased by 4

F ∝
`(1)/(r^(2))`

F ∝
`(1)/(4^(2))`

F ∝
`(1)/(16)`

Therefore, the force will be decreased by a factor of 16.