Question

Two objects a distance apart are experiencing 40 N of force. How much force wouldthere be if you DOUBLED the distance between them?

Answer 1

We know that the masses experience a 40 N force between them, which is a gravitational force due to their mass. So, if we double their distance between them, the force will decrease due to Newton's Gravitational Law.

`F=G\cdot(m_1\cdot m_2)/(d^2_(12))`

Let's use 2d.

`F=G\cdot(m_1\cdot m_2)/((2d)^2)=G\cdot(m_1\cdot m_2)/(4d^2)`

As you can notice, the force would be divide by 4, so let's do that.

`F=(40N)/(4)=10N`

Therefore, if we double their distance, their force would be 10 N.