Answer: [tex]1.6\ N[/tex]
Step-by-step explanation:
Given
The force between the two particles is inversely proportional to the distance between them
[tex]\Rightarrow F\propto \dfrac{1}{d^2}[/tex]
When the distance is 2 m, the force is 10 N. For 5 m distance, it is
[tex]\Rightarrow \dfrac{10}{F_o}=\dfrac{5^2}{2^2}\\\\\Rightarrow F_o=10\times \dfrac{2^2}{5^2}\\\\\Rightarrow F_o=1.6\ N[/tex]
Thus, the force between them is [tex]1.6\ N[/tex]
