Question

Hello, can you please help me check this? I already have an answer

Answer 1

Given:

The force of attraction is F = 10 N.

Let the mass of each ball is m and the distance between them is r.

To find:

The force of attraction when one of the balls has a mass of 2m and the distance between them is 3r.

Solution:

The force of attraction is given by the formula

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

Here, G is the gravitational constant.

The new force of attraction will be

`\begin{gathered} F^(\prime)=(Gm(2m))/((3r)^2) \\ =(2)/(9)*(Gmm)/(r^2) \\ =(2)/(9)F \\ =2.22\text{ N} \end{gathered}`

Final Answer: The force of attraction when the mass of one of the balls doubled and the distance between them is tripled will be 2.22 N.