Question

The force of gravity between two small masses A and B when placed very near each other is 3.24x10-7 N. What will the force between these objects be if both of their masses are doubled and the distance between them is tripled?

Answer 1

force between masses will be same as
`3.24* 10^(-7)N`

Step-by-step explanation:

Let the masses are
`m_A\ and\ m_B` and distance between them is r

According to gravitational law force between two mass is given by

`F=(Gm_Am_B)/(r^2)`

So
`3.24* 10^(-7)=(Gm_Am_B)/(r^2)`

Now mass of both are doubled and distance between them is tripled

And now we have to find that from what factor the force between masses are changed

So
`F_(new)=(G3m_A3m_B)/((3r)^2)=(9Gm_Am_B)/(9r^2)=(Gm_Am_B)/(r^2)=F`

So force between masses will be same as
`3.24* 10^(-7)N` as masses and distance between them both has the same effect