To estimate the charge induced on …

To estimate the charge induced on each of the identical Styrofoam (or pith) balls suspended in a vertical plane, you can use Coulomb's Law, which states that the electrostatic force between two charged objects is directly proportional to the product of their charges and inversely proportional to the square of the distance between their centers. The formula for Coulomb's Law is \( F = \frac{{k \cdot q_1 \cdot q_2}}{{r^2}} \), where: - \( F \) is the electrostatic force, - \( k \) is Coulomb's constant (\(8.99 \times 10^9 \ \text{N m}^2/\text{C}^2\)), - \( q_1 \) and \( q_2 \) are the charges on the two objects, and - \( r \) is the separation between their centers. To estimate the charge, you would rearrange the formula as \( q = \sqrt{\frac{{F \cdot r^2}}{{k}}} \). Measure the force between the balls, the separation distance, and then use these values in the formula to estimate the charge on each ball. Keep in mind that this is an estimation and real-world factors such as air resistance may affect the accuracy of the results.

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