If the electric field exerted t it take for the proton to trav

College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
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**Page 102 Practice Problem 4.3:**

If the electric field exerted the same net force on a proton (m = 1.67 x 10^-27 kg), how long would it take for the proton to travel 0.20 m within the field if it started from rest?

**Answer:** 6.46 x 10^-8 s.
Transcribed Image Text:**Page 102 Practice Problem 4.3:** If the electric field exerted the same net force on a proton (m = 1.67 x 10^-27 kg), how long would it take for the proton to travel 0.20 m within the field if it started from rest? **Answer:** 6.46 x 10^-8 s.
**Educational Content: Analyzing Forces in a TV Picture Tube**

**Example 4.13: A TV Picture Tube**

**Set Up:**

Figure 4.15 shows a simple picture tube with an electron experiencing a force due to an electric field. The problem asks us to find the acceleration of an electron (\( m = 9.11 \times 10^{-31} \, \text{kg} \)) when the electric force (\( F = 1.60 \times 10^{-13} \, \text{N} \)) is applied in the positive x-direction.

**Solution:**

1. Use Newton’s second law in the x-direction:
   \[
   a_x = \frac{\Sigma F_x}{m} = \frac{1.60 \times 10^{-13} \, \text{N}}{9.11 \times 10^{-31} \, \text{kg}}
   \]

2. Calculate the acceleration:
   \[
   a_x = 1.76 \times 10^{17} \, \text{m/s}^2
   \]

**Reflect:**

- The magnitudes of these quantities are large because the mass of the electron is very small compared to the force exerted.

**Figures:**

- **Figure 4.15:** Illustrates the scenario with the electron (\( m = 9.11 \times 10^{-31} \, \text{kg} \)) experiencing an electric force (\( F = 1.60 \times 10^{-13} \, \text{N} \)) towards the positive x-direction.

- Diagram key elements: 
  - An arrow representing the force vector pointing right.
  - Labels indicating the mass and force values clearly.

**Practice Problem:**

- Suppose the counter attendant pushes a 0.35 kg bottle with a force of 1.60 N across a counter.
- Determine the magnitude of the frictional force, given that the bottle travels 0.20 m before stopping.

**Reflective Notes:**

- Real-world forces can cause significant movement, highlighting the importance of friction.
- Notice differences in scales of forces and effects when comparing microscopic particles to macroscopic objects.

**Conceptual Analysis 4.3: Raising a Toolbox**

- Discusses using a rope to hoist a box of tools with constant force.
- Analyzes different factors,
Transcribed Image Text:**Educational Content: Analyzing Forces in a TV Picture Tube** **Example 4.13: A TV Picture Tube** **Set Up:** Figure 4.15 shows a simple picture tube with an electron experiencing a force due to an electric field. The problem asks us to find the acceleration of an electron (\( m = 9.11 \times 10^{-31} \, \text{kg} \)) when the electric force (\( F = 1.60 \times 10^{-13} \, \text{N} \)) is applied in the positive x-direction. **Solution:** 1. Use Newton’s second law in the x-direction: \[ a_x = \frac{\Sigma F_x}{m} = \frac{1.60 \times 10^{-13} \, \text{N}}{9.11 \times 10^{-31} \, \text{kg}} \] 2. Calculate the acceleration: \[ a_x = 1.76 \times 10^{17} \, \text{m/s}^2 \] **Reflect:** - The magnitudes of these quantities are large because the mass of the electron is very small compared to the force exerted. **Figures:** - **Figure 4.15:** Illustrates the scenario with the electron (\( m = 9.11 \times 10^{-31} \, \text{kg} \)) experiencing an electric force (\( F = 1.60 \times 10^{-13} \, \text{N} \)) towards the positive x-direction. - Diagram key elements: - An arrow representing the force vector pointing right. - Labels indicating the mass and force values clearly. **Practice Problem:** - Suppose the counter attendant pushes a 0.35 kg bottle with a force of 1.60 N across a counter. - Determine the magnitude of the frictional force, given that the bottle travels 0.20 m before stopping. **Reflective Notes:** - Real-world forces can cause significant movement, highlighting the importance of friction. - Notice differences in scales of forces and effects when comparing microscopic particles to macroscopic objects. **Conceptual Analysis 4.3: Raising a Toolbox** - Discusses using a rope to hoist a box of tools with constant force. - Analyzes different factors,
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