Respuesta :

Answer:

The repulsive force is [tex]4.556\times10^{-4}N[/tex].

Step-by-step explanation:

Consider the provided information.

Use the coulomb's law to calculate the repulsive force:[tex]F=\frac{kQ_1Q_2}{r^2}[/tex]

Where the value of k is 9.00×10⁹ Nm²/C²

Substitute the respective values in the above formula.

[tex]F=\frac{9\times10^9\frac{N\cdot m^2}{c^2} \times(-27\times10^{-9}C)^2}{[(12 cm)(\frac{1m}{100cm} )]^2}[/tex]

[tex]F=\frac{9\times10^9\frac{N\cdot m^2}{c^2} \times(-27\times10^{-9}C)^2}{(0.12 m)^2}[/tex]

[tex]F=0.000455625N[/tex]

[tex]F=4.556\times10^{-4}N[/tex]

Hence, the repulsive force is [tex]4.556\times10^{-4}N[/tex].

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