Two charged small spheres are a distance R apart and exert an electrostatic force F on each other. If the distance is halved to R/5 , the force exerted on each sphere will be..
a) 25F
b) 5F
c) F/5
d) F/25

Assuming that the two small spheres can be modeled as point charges, according to Coulomb's law, the magnitude of the electrostatic force is given by:

[tex]F=\frac{kq_1q_2}{R^2}[/tex]

In this case, we have [tex]R'=\frac{R}{5}[/tex]:

[tex]F'=\frac{kq_1q_2}{R'^2}\\F'=\frac{kq_1q_2}{(\frac{R}{5})^2}\\F'=25\frac{kq_1q_2}{R^2}\\F'=25F[/tex]

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Two charged small spheres are a distance R apart and exert an electrostatic force F on each other. If the distance is halved to R/5 , the force exerted on each sphere will be.. a) 25F b) 5F c) F/5 d) F/25

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Two charged small spheres are a distance R apart and exert an electrostatic force F on each other. If the distance is halved to R/5 , the force exerted on each sphere will be..
a) 25F
b) 5F
c) F/5
d) F/25