Question

The force newton(N),between two particles is inversely propotional to the square of the distance ,d m,between them.When particles are 2metere apart,the force between them is 10 newton.Find the force between the particles when the are 5 metere apart

Answer 1

Answer: $1.6\ N$

Step-by-step explanation:

Given

The force between the two particles is inversely proportional to the distance between them

$\Rightarrow F\propto \dfrac{1}{d^2}$

When the distance is 2 m, the force is 10 N. For 5 m distance, it is

$\Rightarrow \dfrac{10}{F_o}=\dfrac{5^2}{2^2}\\\\\Rightarrow F_o=10\times \dfrac{2^2}{5^2}\\\\\Rightarrow F_o=1.6\ N$

Thus, the force between them is $1.6\ N$