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loris [4]
3 years ago
6

The force of repulsion, F Newton (N).,between particles is invesrly propotional to the square of the distance dm1find the partic

les with the force of repulsion 20N.Find find force when distance is halved
Mathematics
1 answer:
Fynjy0 [20]3 years ago
5 0

Answer:

F_{2} = 80\,N

Step-by-step 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(\frac{r}{0.5\cdot r} \right)^{2}

F_{2} = 4\cdot F_{1}

F_{2} = 4\cdot (20\,N)

F_{2} = 80\,N

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