Answer:
The repulsive force is
.
Explanation:
Consider the provided information.
Use the coulomb's law to calculate the repulsive force:
![F=(kQ_1Q_2)/(r^2)](https://img.qammunity.org/2021/formulas/mathematics/high-school/mfde0w1xk6v160vyp5lkhhezd6ycbnzndr.png)
Where the value of k is 9.00×10⁹ Nm²/C²
Substitute the respective values in the above formula.
![F=(9*10^9(N\cdot m^2)/(c^2) *(-27*10^(-9)C)^2)/([(12 cm)((1m)/(100cm) )]^2)](https://img.qammunity.org/2021/formulas/mathematics/high-school/y1hke7e8bc48l7pm7pxi6v2765fyv1zhov.png)
![F=(9*10^9(N\cdot m^2)/(c^2) *(-27*10^(-9)C)^2)/((0.12 m)^2)](https://img.qammunity.org/2021/formulas/mathematics/high-school/vmyylpjizpxz98zwksnhypr3ugvay4vfwq.png)
![F=0.000455625N](https://img.qammunity.org/2021/formulas/mathematics/high-school/pxgpcwbt2av0i5dmgvcbeqel0ki9pqje84.png)
![F=4.556*10^(-4)N](https://img.qammunity.org/2021/formulas/mathematics/high-school/mrqtpzzt291xw9jer8yrz0eprq1cf2fn68.png)
Hence, the repulsive force is
.