Two point particles with charges +3 µC and +8 μC are held in place by 9 N forces on each charge in appropriate directions. (a) Draw a free-body diagram for each particle. F12 F21 O 9N 1 +3μC 1 +3uC 9N F12 2 +8μC 9N 2 +8μ C (b) Find the distance between the charges (in m). 9N F21 F12 1 +3μC 9N 9N 2 F21 +8μ C O 9N 1 +3μC F12 F21 2 +8μ C 9N

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Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
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### Problem Statement

Two point particles with charges \( +3 \mu C \) and \( +8 \mu C \) are held in place by \( 9 \, \text{N} \) forces on each charge in appropriate directions.

#### (a) Draw a free-body diagram for each particle.

**Diagram Explanation:**

The diagram consists of three pairs of free-body diagrams for the two charged particles. Each charged particle \( +3 \mu C \) and \( +8 \mu C \) is represented by a small circle with the charge written next to it. Forces are depicted as arrows pointing in the direction of the force with magnitudes marked as \( 1 \, \text{N}, 2 \, \text{N}, 9 \, \text{N} \) with labels \( \overrightarrow{F_{12}} \) and \( \overrightarrow{F_{21}} \).

1. **First Diagram Pair (Incorrect):** 
   - **Left Particle (+3 μC):**
     - \( \overrightarrow{F_{12}} \) pointing to the right.
     - Force labeled \( 1 \, \text{N} \) and then \( 9 \, \text{N} \) on the right side.
   - **Right Particle (+8 μC):**
     - \( \overrightarrow{F_{21}} \) pointing to the left.
     - Force labeled \( 2 \, \text{N} \) and then \( 9 \, \text{N} \) on the left side.

2. **Second Diagram Pair (Correct):** 
   - **Left Particle (+3 μC):**
     - \( 9 \, \text{N} \) pointing left.
     - \( 1 \, \text{N} \) pointing right.
     - \( \overrightarrow{F_{12}} \) pointing to the right.
   - **Right Particle (+8 μC):**
     - \( 9 \, \text{N} \) pointing right.
     - \( 2 \, \text{N} \) pointing left.
     - \( \overrightarrow{F_{21}} \) pointing to the left.
   - The check mark indicates this is the correct pair of diagrams.

3. **Third Diagram Pair (Incorrect):**
   - **Left Particle (+3 μC
Transcribed Image Text:### Problem Statement Two point particles with charges \( +3 \mu C \) and \( +8 \mu C \) are held in place by \( 9 \, \text{N} \) forces on each charge in appropriate directions. #### (a) Draw a free-body diagram for each particle. **Diagram Explanation:** The diagram consists of three pairs of free-body diagrams for the two charged particles. Each charged particle \( +3 \mu C \) and \( +8 \mu C \) is represented by a small circle with the charge written next to it. Forces are depicted as arrows pointing in the direction of the force with magnitudes marked as \( 1 \, \text{N}, 2 \, \text{N}, 9 \, \text{N} \) with labels \( \overrightarrow{F_{12}} \) and \( \overrightarrow{F_{21}} \). 1. **First Diagram Pair (Incorrect):** - **Left Particle (+3 μC):** - \( \overrightarrow{F_{12}} \) pointing to the right. - Force labeled \( 1 \, \text{N} \) and then \( 9 \, \text{N} \) on the right side. - **Right Particle (+8 μC):** - \( \overrightarrow{F_{21}} \) pointing to the left. - Force labeled \( 2 \, \text{N} \) and then \( 9 \, \text{N} \) on the left side. 2. **Second Diagram Pair (Correct):** - **Left Particle (+3 μC):** - \( 9 \, \text{N} \) pointing left. - \( 1 \, \text{N} \) pointing right. - \( \overrightarrow{F_{12}} \) pointing to the right. - **Right Particle (+8 μC):** - \( 9 \, \text{N} \) pointing right. - \( 2 \, \text{N} \) pointing left. - \( \overrightarrow{F_{21}} \) pointing to the left. - The check mark indicates this is the correct pair of diagrams. 3. **Third Diagram Pair (Incorrect):** - **Left Particle (+3 μC
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