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

Respuesta :

Answer:

[tex]F_{2} = 80\,N[/tex]

Step-by-step explanation:

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

[tex]F_{1}\cdot r_{1}^{2} = F_{2}\cdot r_{2}^{2}[/tex]

The force when the distance is halved is:

[tex]F_{2} = F_{1}\cdot \left(\frac{r}{0.5\cdot r} \right)^{2}[/tex]

[tex]F_{2} = 4\cdot F_{1}[/tex]

[tex]F_{2} = 4\cdot (20\,N)[/tex]

[tex]F_{2} = 80\,N[/tex]

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