Question

If there is 2 N of gravitational force between two objects and then the distance is doubled which of the following will be the new force ?A. 1 NB. 1/2 N C. 4 N D. 1/4 N

Answer 1

`\begin{gathered} F=(Gm1\cdot m2)/(r^2) \\ \text{If r=2r} \\ (Gm1\cdot m2)/((2r)^2)=\frac{Gm1\cdot m2}{4r^2^{}} \\ Gm1\cdot m2\text{ is constant} \\ \text{Hence} \\ \text{The new force is } \\ F=2N\cdot((1)/(4)) \\ F=(1)/(2)N \\ \text{The new force is }(1)/(2)N \end{gathered}`