Question: How does charge affect the strength of the electrostatic force? Observe: You can change the charge of each object by entering the desired value in the qA and qB boxes. Observe the force vectors for each of the situations listed in the table below. Based on the force vectors, state whether the objects are repelled from one another, attracted to one another, or if there is no force at all. *4 pointsReplusion Attraction No forceqa 1.0 × 10⁻⁴ C qb 1.0 × 10⁻⁴ C qa -1.0 × 10⁻⁴ C qb 1.0 × 10⁻⁴ C qa -1.0 × 10⁻⁴ C qb -1.0 × 10⁻⁴ C qa 1.0 × 10⁻⁴ C qb 0.0 × 10⁻⁴ C qa 1.0 × 10⁻⁴ C qb 1.0 × 10⁻⁴ C qa -1.0 × 10⁻⁴ C qb 1.0 × 10⁻⁴ C qa -1.0 × 10⁻⁴ C qb -1.0 × 10⁻⁴ C qa 1.0 × 10⁻⁴ C qb 0.0 × 10⁻⁴ C Make a rule: Complete the following sentences with the words “attract,” “repel,” or “zero.”*3 pointsattract repel zeroWhen the charges are the same, the two objects ________ one another. When the charges are opposite, the two objects ________ one another. When one of the objects has no charge, the resulting force is ________. When the charges are the same, the two objects ________ one another. When the charges are opposite, the two objects ________ one another. When one of the objects has no charge, the resulting force is ________. Predict: How do you think the magnitude of the electrostatic force between two objects will change if the charge of each object was doubled?*2 pointsMeasure: Turn on Show vector notation for both objects. Set the charge of objects A and B to 1.0 × 10 ⁻⁴C. The force on object A is now -0.90i + 0j N. That means that the force is-0.90 N in the x direction and 0 N in the y direction. 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 pointThe force on object A is negative. What does this indicate about the direction of the force?*1 pointThe negative value indicates the force on A points downThe negative value indicates the force on A points to the leftThe negative value indicates the force on A points to the rightThe negative value indicates the force on A points upDataWhat patterns do you notice in the data? CHECK ALL THAT APPLY*2 pointsWhen both charges are doubled, the force is divided by four.When one charge is doubled, the force doubles.When one charge is doubled, the force is cut in half.When both charges are doubled, the force is multiplied by four.

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Question: How does charge affect the strength of the electrostatic force? Observe: You can change the charge of each object by entering the desired value in the qA and qB boxes. Observe the force vectors for each of the situations listed in the table below.  Based on the force vectors, state whether the objects are repelled from one another,  attracted to one another, or if there is no force at all. *4 pointsReplusion Attraction No forceqa 1.0 × 10⁻⁴ C qb 1.0 × 10⁻⁴ C qa -1.0 × 10⁻⁴ C qb 1.0 × 10⁻⁴ C qa -1.0 × 10⁻⁴ C qb -1.0 × 10⁻⁴ C qa 1.0 × 10⁻⁴ C qb 0.0 × 10⁻⁴ C qa 1.0 × 10⁻⁴ C qb 1.0 × 10⁻⁴ C qa -1.0 × 10⁻⁴ C qb 1.0 × 10⁻⁴ C qa -1.0 × 10⁻⁴ C qb -1.0 × 10⁻⁴ C qa 1.0 × 10⁻⁴ C qb 0.0 × 10⁻⁴ C Make a rule: Complete the following sentences with the words “attract,” “repel,” or “zero.”*3 pointsattract repel zeroWhen the charges are the same, the two objects ________ one another. When the charges are opposite, the two objects ________ one another. When one of the objects has no charge, the resulting force is ________. When the charges are the same, the two objects ________ one another. When the charges are opposite, the two objects ________ one another. When one of the objects has no charge, the resulting force is ________. Predict: How do you think the magnitude of the electrostatic force between two objects will  change if the charge of each object was doubled?*2 pointsMeasure: Turn on Show vector notation for both objects. Set the charge of objects A and  B to 1.0 × 10 ⁻⁴C. The force on object A is now -0.90i + 0j N. That means that the force is-0.90 N in the x direction and 0 N in the y direction.   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 pointThe force on object A is negative. What does this indicate about the direction of the  force?*1 pointThe negative value indicates the force on A points downThe negative value indicates the force on A points to the leftThe negative value indicates the force on A points to the rightThe negative value indicates the force on A points upDataWhat patterns do you notice in the data? CHECK ALL THAT APPLY*2 pointsWhen both charges are doubled, the force is divided by four.When one charge is doubled, the force doubles.When one charge is doubled, the force is cut in half.When both charges are doubled, the force is multiplied by four.

GPT-4o mini · Answer

### Observations and Answers: 1. **Force Between Charges:** - $ q_a = 1.0 \times 10^{-4} \, C $, $ q_b = 1.0 \times 10^{-4} \, C $ → **Repulsion** - $ q_a = -1.0 \times 10^{-4} \, C $, $ q_b = 1.0 \times 10^{-4} \, C $ → **Attraction** - $ q_a = -1.0 \times 10^{-4} \, C $, $ q_b = -1.0 \times 10^{-4} \, C $ → **Repulsion** - $ q_a = 1.0 \times 10^{-4} \, C $, $ q_b = 0.0 \times 10^{-4} \, C $ → **Zero** - $ q_a = 1.0 \times 10^{-4} \, C $, $ q_b = 1.0 \times 10^{-4} \, C $ → **Repulsion** - $ q_a = -1.0 \times 10^{-4} \, C $, $ q_b = 1.0 \times 10^{-4} \, C $ → **Attraction** - $ q_a = -1.0 \times 10^{-4} \, C $, $ q_b = -1.0 \times 10^{-4} \, C $ → **Repulsion** - $ q_a = 1.0 \times 10^{-4} \, C $, $ q_b = 0.0 \times 10^{-4} \, C $ → **Zero** 2. **Rules:** - When the charges are the same, the two objects **repel** one another. - When the charges are opposite, the two objects **attract** one another. - When one of the objects has no charge, the resulting force is **zero**. 3. **Predictions:** - If the charge of each object was doubled, the magnitude of the electrostatic force between them would **increase (be multiplied by four)**, according to Coulomb's law which states that force is proportional to the product of the magnitudes of the charges. 4. **Measurements:** - Given the force on object A is $-0.90i + 0j \, N$: - $|F_A| = \sqrt{(-0.90)^2 + 0^2} = 0.90 \, N$ - $|F_B| = |F_A| (newtons are equal in magnitude but opposite in direction for symmetrical charge situations) = 0.90 \, N$ 5. **Direction of Force:** - The negative value indicates the force on A points **to the left** (since negative is typically used to indicate the leftward direction in a standard Cartesian coordinate system). 6. **Data Patterns:** - **CHECK ALL THAT APPLY:** - When both charges are doubled, the force is multiplied by four. - When one charge is doubled, the force doubles. These response patterns characterize the nature of electrostatic interactions between charged objects.