An electron travels at a speed of 2.58.104 km/s parallel to an electric field of magnitude 1.20-104 N/C. What distance will the electron travel before coming to a stop? O 11.5 cm 14.0 cm 31.6 cm 15.8 cm 23.0 cm

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Chapter1: Units, Trigonometry. And Vectors
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**Physics Problem: Electron Dynamics in an Electric Field**

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### Problem Statement:
An electron travels at a speed of \(2.58 \times 10^4 \) km/s parallel to an electric field of magnitude \(1.20 \times 10^4 \) N/C. What distance will the electron travel before coming to a stop?

### Multiple Choice Options:
- \(11.5 \, \text{cm}\)
- \(14.0 \, \text{cm}\)
- \(31.6 \, \text{cm}\)
- \(15.8 \, \text{cm}\) 
- \(23.0 \, \text{cm}\)

**Explanation:**
In this problem, you are required to determine the distance an electron will travel before it comes to a stop when it is subjected to a specific electric field.

---

To solve this, consider the following key concepts:
1. **Kinematics and Dynamics of Electrons in an Electric Field:**
   - The electron will experience a constant deceleration due to the electric field.
   - The force acting on the electron can be calculated using Coulomb's law: \( F = q \times E \)
2. **Kinetic Equations:**
   - You can use the equations of motion to find the distance traveled by the electron under constant deceleration until its velocity becomes zero.

**Note to Students:** Be sure to convert units appropriately (e.g., from km/s to m/s) and understand the relationship between the distance, electric field strength, and electron charge.
Transcribed Image Text:**Physics Problem: Electron Dynamics in an Electric Field** --- ### Problem Statement: An electron travels at a speed of \(2.58 \times 10^4 \) km/s parallel to an electric field of magnitude \(1.20 \times 10^4 \) N/C. What distance will the electron travel before coming to a stop? ### Multiple Choice Options: - \(11.5 \, \text{cm}\) - \(14.0 \, \text{cm}\) - \(31.6 \, \text{cm}\) - \(15.8 \, \text{cm}\) - \(23.0 \, \text{cm}\) **Explanation:** In this problem, you are required to determine the distance an electron will travel before it comes to a stop when it is subjected to a specific electric field. --- To solve this, consider the following key concepts: 1. **Kinematics and Dynamics of Electrons in an Electric Field:** - The electron will experience a constant deceleration due to the electric field. - The force acting on the electron can be calculated using Coulomb's law: \( F = q \times E \) 2. **Kinetic Equations:** - You can use the equations of motion to find the distance traveled by the electron under constant deceleration until its velocity becomes zero. **Note to Students:** Be sure to convert units appropriately (e.g., from km/s to m/s) and understand the relationship between the distance, electric field strength, and electron charge.
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