When two negatively charged objects are brought close to each other, they exert a repulsive force on each other due to the electrostatic force described by Coulomb's law. This law states that like charges repel and opposite charges attract. Therefore, in the case of two negatively charged objects, they will push away from one another.
To increase the force of repulsion between these two negatively charged objects, you can consider the following two methods:
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Decrease the Distance Between the Objects: According to Coulomb's law, the electrostatic force (\( F \)) between two charges is inversely proportional to the square of the distance (\( r \)) between them (i.e., \( F \propto \frac{1}{r^2} \)). By bringing the objects closer together, you effectively decrease the distance \( r \), which increases the force of repulsion between them.
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Increase the Magnitude of the Charges: The electrostatic force is directly proportional to the product of the magnitudes of the charges (\( q_1 \) and \( q_2 \)) involved (i.e., \( F \propto q_1 \cdot q_2 \)). By increasing the amount of negative charge on either or both of the objects (for example, by adding additional electrons), you can increase the force of repulsion between them.
By applying these two methods (decreasing distance and increasing charge), you can effectively increase the repulsive force between the two negatively charged objects.