Activity B:  The effect of  distanceGet the Gizmo ready: ∙ Turn on Show distance.  ∙ Set qA to 10.0 × 10⁻⁴   C and qB to 1.0 × 10⁻⁴   C.Question: How does distance affect the strength of the electrostatic force?  Observe: Move object A back and forth. How does the distance between the objects affect  the strength of the electrostatic force between them?  *1 pointThe magnitude of the electrostatic force increases and the objects move apart.The magnitude of the electrostatic force decreases and the objects move apart.Predict: How do you think the electrostatic force between two objects would change if the  distance between the two objects was doubled?*1 pointMeasure: Place object A on the x-axis at -2, and object B on the x-axis at +1.   What is the magnitude of the force on object A? |FA| =*1 point What is the magnitude of the force on object B? |FB| =*1 pointDataUsing data above, how does the force change as the distance increases?*2 pointsThe force decreases as the distance increases.The force decreases does not change as the distance increases.The force increases as the distance increases.ConclusionData:IMPORTANT!!! Negative forces are attractive. Positive forces are repulsive. The sign (-/+) does not affect the magnitude. Claim State your conclusion about the relationship between distance and electrostatic force.*2 pointsForce and distance are not relatedThe force decreases as the distance decreasesThe force decreases as the distance increasesEvidence: Provide evidence from the data above.*3 pointsReasoning: Explain how your evidence supports your claim, referencing Coulomb's Law.*4 pointsClaim State your conclusion about the relationship between charge and electrostatic force.*2 pointsThe force increases as the magnitude of the charge decreasesThe force decreases as the magnitude of the charge decreasesForce and charge are NOT related.Evidence: Provide evidence from the data above.*3 pointsReasoning: Explain how your evidence supports your claim, referencing Coulomb's Law.

1 answer

Activity B: The Effect of Distance on Electrostatic Force

Claim

  1. Distance and Electrostatic Force: The force decreases as the distance increases.

Evidence

As per the observations made when moving object A and measuring the electrostatic forces, it was noted that as the distance between the two charges, qA (10.0 × 10⁻⁴ C) and qB (1.0 × 10⁻⁴ C), increased, the magnitude of the force between them decreased.

Reasoning

This finding is consistent with Coulomb's Law, which states that the magnitude of the electrostatic force \( F \) between two point charges is inversely proportional to the square of the distance \( r \) between them. Mathematically, it can be expressed as:

\[ F = k \cdot \frac{|qA \cdot qB|}{r^2} \]

Where \( k \) is Coulomb's constant. As \( r \) increases, the force \( F \) decreases, demonstrating that greater separation between charges results in a weaker electrostatic force.


Claim

  1. Charge and Electrostatic Force: The force increases as the magnitude of the charge increases.

Evidence

Given the values assigned to the charges (qA = 10.0 × 10⁻⁴ C and qB = 1.0 × 10⁻⁴ C), the resulting electrostatic force was strong owing to the combination of the magnitudes of the charges. When the charge magnitudes were assessed while keeping the distance constant, an increase in either charge resulted in a noticeable increase in force.

Reasoning

This supports the understanding from Coulomb's Law, which illustrates that the electrostatic force is directly proportional to the product of the magnitudes of the charges. Using the same formula from above:

\[ F = k \cdot \frac{|qA \cdot qB|}{r^2} \]

If we increase \( |qA| \) or \( |qB| \) while keeping \( r \) constant, the overall force \( F \) increases. This demonstrates a direct relationship between the magnitudes of the charges and the strength of the electrostatic force acting between them.

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