A tiny sphere with a charge of 7.0 μC is attached to a spring. Two other tiny charged spheres, e

step 1 Here the important part is to draw the diagram. So here we have charge q and that's a this angle

A tiny sphere with a charge of 7.0 μC is attached to a...

A tiny sphere with a charge of $7.0 \mu \mathrm{C}$ is attached to a spring. Two other tiny charged spheres, each with a charge of $-4.0 \mu \mathrm{C}$, are placed in the positions shown in the figure and the spring stretches $5.0 \mathrm{~cm}$ from its previous equilibrium position toward the two spheres. Calculate the spring constant.

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Key Concepts

Static Equilibrium

This concept refers to a state where the net force acting on an object is zero, meaning that all the forces balance each other out. In problems involving a spring and electrostatic forces, static equilibrium is used to set the restoring force equal to the net electrostatic force to solve for unknowns such as the spring constant.

Coulomb's Law

This principle quantifies the electrostatic force between two point charges, asserting that the force is directly proportional to the product of the magnitudes of the charges and inversely proportional to the square of the distance between them. It is essential for determining the magnitude of the force acting between charged objects.

Hooke's Law

This law states that the force exerted by a spring is directly proportional to its displacement from its equilibrium position, with the proportionality constant being the spring constant (k). It is crucial for relating the displacement of the spring to the restoring force it generates.

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