In the image below, you have a before and after case. Initially q1 and q2 are far apart (top image). The charge q1 is being held stationary and is not allowed to move. But q2 is released and allowed to move. In the final image you can see where q2 has moved after being released. q1 Initial +) Final + q1 q2 Look at the Initial set up and the Final set up. Is the change in the Kinetic Energy of q2 positive or negative? Make sure to think about the signs of the charges and their relative distances.

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**Exploring Electrostatic Interactions: Analysis of Kinetic Energy Changes**

In the image below, you have a before and after case. Initially, charges q1 and q2 are far apart (top image). The charge q1 is being held stationary and is not allowed to move. But q2 is released and allowed to move. In the final image, you can see where q2 has moved after being released.

### Initial Configuration
- **q1**: Charge indicated with a \( + \) sign.
- **q2**: Charge indicated with a \( + \) sign.
  
```
Initial
q1       q2
+        +
```

### Final Configuration
- **q1**: Charge indicated with a \( + \) sign.
- **q2**: Charge indicated with a \( + \) sign, now closer to q1.

```
Final
q1       q2
+        +
```

### Analysis

Look at the Initial setup and the Final setup. Is the change in the **Kinetic Energy of q2 positive or negative?** Make sure to think about the signs of the charges and their relative distances.

When analyzing the kinetic energy of q2, consider the following:
- **Like charges** repel each other.
- q2 is released and moves closer to q1, implying a decrease in potential energy as q2 repels away from q1. 
- This reduction in potential energy converts into kinetic energy for the moving charge q2.

Hence, the change in the **kinetic energy of q2 is positive** because the charge accelerates and gains kinetic energy as it repels from q1.

Please note that these observations are based on electrostatic principles, where potential energy decreases as like charges repel, thus increasing kinetic energy.
Transcribed Image Text:**Exploring Electrostatic Interactions: Analysis of Kinetic Energy Changes** In the image below, you have a before and after case. Initially, charges q1 and q2 are far apart (top image). The charge q1 is being held stationary and is not allowed to move. But q2 is released and allowed to move. In the final image, you can see where q2 has moved after being released. ### Initial Configuration - **q1**: Charge indicated with a \( + \) sign. - **q2**: Charge indicated with a \( + \) sign. ``` Initial q1 q2 + + ``` ### Final Configuration - **q1**: Charge indicated with a \( + \) sign. - **q2**: Charge indicated with a \( + \) sign, now closer to q1. ``` Final q1 q2 + + ``` ### Analysis Look at the Initial setup and the Final setup. Is the change in the **Kinetic Energy of q2 positive or negative?** Make sure to think about the signs of the charges and their relative distances. When analyzing the kinetic energy of q2, consider the following: - **Like charges** repel each other. - q2 is released and moves closer to q1, implying a decrease in potential energy as q2 repels away from q1. - This reduction in potential energy converts into kinetic energy for the moving charge q2. Hence, the change in the **kinetic energy of q2 is positive** because the charge accelerates and gains kinetic energy as it repels from q1. Please note that these observations are based on electrostatic principles, where potential energy decreases as like charges repel, thus increasing kinetic energy.
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