A student observes interactions between two sets of electrically charged objects. In each set, the objects carry either a charge of –1 or +1 Coulomb. Which question can the student ask to identify the set with the stronger interaction?

Are the objects both positively charged or both negatively charged?
Are the objects both positively charged or both negatively charged?

How far apart are the objects in each interaction?
How far apart are the objects in each interaction?

How large are the objects in each set?
How large are the objects in each set?

What is the mass of each object in the interactions?

1 answer

To identify the set of electrically charged objects with the stronger interaction, the student should focus on the factors that influence the electric force between charged objects. The interaction strength between two charged objects can be described by Coulomb's Law, which states that the force \( F \) between two charges \( q_1 \) and \( q_2 \) separated by a distance \( r \) is given by the equation:

\[ F = k \frac{|q_1 q_2|}{r^2} \]

where \( k \) is Coulomb's constant.

Given this, the most relevant question to ask in order to determine which set has the stronger interaction is:

How far apart are the objects in each interaction?

This question is pertinent because the distance between the charged objects directly affects the strength of their interaction force. Knowing the distance allows the student to understand how the repulsive or attractive force changes between them.

The other questions about whether the objects are positively or negatively charged, their sizes, or their masses would not directly help in determining the strength of the interaction according to Coulomb's Law as effectively as knowing the distance would.