with Two particles, charges of 20.0 nC and -20.0 nC, are placed at the points with coordi- nates (0, 4.00 cm) and (0, -4.00 cm) as shown in Figure P25.17. A par- ticle with charge 10.0 nC is located at the origin. (a) Find the electric potential energy of the configuration of the three fixed charges. (b) A fourth particle, with a mass of 2.00 X 10-13 kg and a charge of 10.0 nC, is released from est at the point (200

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Can you solve the question in the picture below?

### Problem Description

**17. Electric Charge Configuration**

Two particles with charges of \(20.0 \, \text{nC}\) and \(-20.0 \, \text{nC}\) are placed at the points with coordinates \((0, 4.00 \, \text{cm})\) and \((0, -4.00 \, \text{cm})\) as shown in Figure P25.17. A particle with a charge of \(10.0 \, \text{nC}\) is located at the origin.

- **(a):** Find the electric potential energy of the configuration of the three fixed charges.

- **(b):** A fourth particle, with a mass of \(2.00 \times 10^{-13} \, \text{kg}\) and a charge of \(40.0 \, \text{nC}\), is released from rest at the point \((3.00 \, \text{cm}, 0)\). Find its speed after it has moved freely to a very large distance away.

### Diagram Explanation

**Diagram: Figure P25.17**

- **Vertical Line (y-axis):** 
  - A positive charge of \(20.0 \, \text{nC}\) is placed at \((0, 4.00 \, \text{cm})\).
  - A negative charge of \(-20.0 \, \text{nC}\) is placed at \((0, -4.00 \, \text{cm})\).

- **Origin (0,0):**
  - A positive charge of \(10.0 \, \text{nC}\).

- **Horizontal Line (x-axis):**
  - A point \((3.00 \, \text{cm}, 0)\) where a fourth particle is released, having a charge of \(40.0 \, \text{nC}\).

Distances relevant to the scenario are marked alongside the respective axes, helping illustrate the interactions between the charges and their positions.
Transcribed Image Text:### Problem Description **17. Electric Charge Configuration** Two particles with charges of \(20.0 \, \text{nC}\) and \(-20.0 \, \text{nC}\) are placed at the points with coordinates \((0, 4.00 \, \text{cm})\) and \((0, -4.00 \, \text{cm})\) as shown in Figure P25.17. A particle with a charge of \(10.0 \, \text{nC}\) is located at the origin. - **(a):** Find the electric potential energy of the configuration of the three fixed charges. - **(b):** A fourth particle, with a mass of \(2.00 \times 10^{-13} \, \text{kg}\) and a charge of \(40.0 \, \text{nC}\), is released from rest at the point \((3.00 \, \text{cm}, 0)\). Find its speed after it has moved freely to a very large distance away. ### Diagram Explanation **Diagram: Figure P25.17** - **Vertical Line (y-axis):** - A positive charge of \(20.0 \, \text{nC}\) is placed at \((0, 4.00 \, \text{cm})\). - A negative charge of \(-20.0 \, \text{nC}\) is placed at \((0, -4.00 \, \text{cm})\). - **Origin (0,0):** - A positive charge of \(10.0 \, \text{nC}\). - **Horizontal Line (x-axis):** - A point \((3.00 \, \text{cm}, 0)\) where a fourth particle is released, having a charge of \(40.0 \, \text{nC}\). Distances relevant to the scenario are marked alongside the respective axes, helping illustrate the interactions between the charges and their positions.
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