Question

The force of repulsion, F Newton (N).,between particles is invesrly propotional to the square of the distance dm1find the particles with the force of repulsion 20N.Find find force when distance is halved

Answer 1

`F_(2) = 80\,N`

Explanation:

Given the consideration of the inverse proportionality between force and distance, the following relationship is constructed and described below:

`F_(1)\cdot r_(1)^(2) = F_(2)\cdot r_(2)^(2)`

The force when the distance is halved is:

`F_(2) = F_(1)\cdot \left((r)/(0.5\cdot r) \right)^(2)`

`F_(2) = 4\cdot F_(1)`

`F_(2) = 4\cdot (20\,N)`

`F_(2) = 80\,N`