Calculate the magnitude of the Coulomb force experienced by the 2.0 µC charge, in newtons, due to the presence of the two other charges if x = 0.71 m. k = 9 x 109 N m2/c2. Find the magnitude AND the direction of the force actiong on the blue charge due to the red charge; do the same for the green charge. If the two forces are in the same direction, add them up to find the total force. If they are in opposite directions, subtract them. Be careful with the units: the microcoulombs must be converted to coulombs. You may want to watch the video Coulomb's Law - how to use first. +8.0 μC +2.0 μC -1.0 μC x (m) 3

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### Coulomb's Law Calculation Exercise

**Problem Statement:**
Calculate the magnitude of the Coulomb force experienced by the 2.0 μC charge, in newtons, due to the presence of the two other charges if \( x = 0.71 \) m, \( k = 9 \times 10^9 \) N m²/C². 

**Instructions:**
1. **Find the magnitude AND the direction of the force acting on the blue charge due to the red charge; do the same for the green charge.**
2. If the two forces are in the same direction, add them up to find the total force. If they are in opposite directions, subtract them.
3. Be careful with the units: the microcoulombs must be converted to coulombs.
4. You may want to watch the video on Coulomb's Law - how to use it first.

**Diagram of Charges on a Number Line:**

```
+8.0 μC  ------------  +2.0 μC  ------------  -1.0 μC
   0          x               3
```

- The red charge (\(+8.0 \mu C\)) is at position \(0\).
- The blue charge (\(+2.0 \mu C\)) is at position \(x\).
- The green charge (\(-1.0 \mu C\)) is at position \(3\).

**Answer Submission:**
- Enter the calculated force in the text box provided.
- Click "Save and Submit" to submit your answer.

**Buttons:**
- "Save All Answers" 
- "Save and Submit"

Explore the interactions between electric charges using Coulomb’s Law to enhance your understanding of the forces involved. Make sure to double-check your calculations and units for accuracy.
Transcribed Image Text:### Coulomb's Law Calculation Exercise **Problem Statement:** Calculate the magnitude of the Coulomb force experienced by the 2.0 μC charge, in newtons, due to the presence of the two other charges if \( x = 0.71 \) m, \( k = 9 \times 10^9 \) N m²/C². **Instructions:** 1. **Find the magnitude AND the direction of the force acting on the blue charge due to the red charge; do the same for the green charge.** 2. If the two forces are in the same direction, add them up to find the total force. If they are in opposite directions, subtract them. 3. Be careful with the units: the microcoulombs must be converted to coulombs. 4. You may want to watch the video on Coulomb's Law - how to use it first. **Diagram of Charges on a Number Line:** ``` +8.0 μC ------------ +2.0 μC ------------ -1.0 μC 0 x 3 ``` - The red charge (\(+8.0 \mu C\)) is at position \(0\). - The blue charge (\(+2.0 \mu C\)) is at position \(x\). - The green charge (\(-1.0 \mu C\)) is at position \(3\). **Answer Submission:** - Enter the calculated force in the text box provided. - Click "Save and Submit" to submit your answer. **Buttons:** - "Save All Answers" - "Save and Submit" Explore the interactions between electric charges using Coulomb’s Law to enhance your understanding of the forces involved. Make sure to double-check your calculations and units for accuracy.
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