A proton is projected horizontally midway between two parallel plates that are separated by 0.47 cm. The uniform electric field has magnitude 6.0 x 105 N/C between the plates. If the plates are 5.6 cm long, find the minimum speed of the proton if it just misses the lower plate as it emerges from the field. The gravitational force on the proton can be neglected. 6.2 x 106 m/s 12 x 106 m/s 11 x 106 m/s 7.4 x 106 m/s 8.7 x 106 m/s E
A proton is projected horizontally midway between two parallel plates that are separated by 0.47 cm. The uniform electric field has magnitude 6.0 x 105 N/C between the plates. If the plates are 5.6 cm long, find the minimum speed of the proton if it just misses the lower plate as it emerges from the field. The gravitational force on the proton can be neglected. 6.2 x 106 m/s 12 x 106 m/s 11 x 106 m/s 7.4 x 106 m/s 8.7 x 106 m/s E
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)...
Related questions
Question
![### Projectile Motion of a Proton in an Electric Field
#### Problem Statement:
A proton is projected horizontally midway between two parallel plates that are separated by 0.47 cm. The uniform electric field has a magnitude of \(6.0 \times 10^5 \, \text{N/C}\) between the plates. If the plates are 5.6 cm long, find the minimum speed of the proton if it just misses the lower plate as it emerges from the field. The gravitational force on the proton can be neglected.
The available options for the minimum speed of the proton are:
- \(6.2 \times 10^6 \, \text{m/s}\)
- \(12 \times 10^6 \, \text{m/s}\)
- \(11 \times 10^6 \, \text{m/s}\)
- \(7.4 \times 10^6 \, \text{m/s}\)
- \(8.7 \times 10^6 \, \text{m/s}\)
#### Diagram Explanation:
The diagram shows:
1. **Two Parallel Plates**: Represented as two horizontal black lines, separated by a distance.
2. **Electric Field (\(\vec{E}\))**: The electric field between the plates is shown with downward arrows, indicating the direction of the field from the upper plate to the lower plate.
3. **Proton's Path**: The proton is represented as a black dot on the left side with a horizontal arrow indicating its initial horizontal velocity.
#### Calculation Approach:
To solve this problem, the following steps should be considered:
1. **Determine the Electric Force**:
Use the formula for the force on a charge in an electric field:
\[
F = qE
\]
where \(q\) is the charge of the proton \((q = 1.6 \times 10^{-19} \, \text{C})\) and \(E\) is the electric field strength \((6.0 \times 10^5 \, \text{N/C})\).
2. **Calculate the Acceleration**:
Use Newton’s Second Law to find the acceleration:
\[
a = \frac{F}{m}
\]
where \(m\) is the mass of the proton \((m = 1.67 \times 10^{-27}](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F67028db1-3c15-42d7-aa43-8659f6c3f0f2%2Fbce89e14-47c2-4b6b-933e-c7272bd85ab0%2Fsxyd0np_processed.png&w=3840&q=75)
Transcribed Image Text:### Projectile Motion of a Proton in an Electric Field
#### Problem Statement:
A proton is projected horizontally midway between two parallel plates that are separated by 0.47 cm. The uniform electric field has a magnitude of \(6.0 \times 10^5 \, \text{N/C}\) between the plates. If the plates are 5.6 cm long, find the minimum speed of the proton if it just misses the lower plate as it emerges from the field. The gravitational force on the proton can be neglected.
The available options for the minimum speed of the proton are:
- \(6.2 \times 10^6 \, \text{m/s}\)
- \(12 \times 10^6 \, \text{m/s}\)
- \(11 \times 10^6 \, \text{m/s}\)
- \(7.4 \times 10^6 \, \text{m/s}\)
- \(8.7 \times 10^6 \, \text{m/s}\)
#### Diagram Explanation:
The diagram shows:
1. **Two Parallel Plates**: Represented as two horizontal black lines, separated by a distance.
2. **Electric Field (\(\vec{E}\))**: The electric field between the plates is shown with downward arrows, indicating the direction of the field from the upper plate to the lower plate.
3. **Proton's Path**: The proton is represented as a black dot on the left side with a horizontal arrow indicating its initial horizontal velocity.
#### Calculation Approach:
To solve this problem, the following steps should be considered:
1. **Determine the Electric Force**:
Use the formula for the force on a charge in an electric field:
\[
F = qE
\]
where \(q\) is the charge of the proton \((q = 1.6 \times 10^{-19} \, \text{C})\) and \(E\) is the electric field strength \((6.0 \times 10^5 \, \text{N/C})\).
2. **Calculate the Acceleration**:
Use Newton’s Second Law to find the acceleration:
\[
a = \frac{F}{m}
\]
where \(m\) is the mass of the proton \((m = 1.67 \times 10^{-27}
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
This is a popular solution!
Trending now
This is a popular solution!
Step by step
Solved in 3 steps with 20 images
Knowledge Booster
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, physics and related others by exploring similar questions and additional content below.Recommended textbooks for you
College Physics
Physics
ISBN:
9781305952300
Author:
Raymond A. Serway, Chris Vuille
Publisher:
Cengage Learning
University Physics (14th Edition)
Physics
ISBN:
9780133969290
Author:
Hugh D. Young, Roger A. Freedman
Publisher:
PEARSON
Introduction To Quantum Mechanics
Physics
ISBN:
9781107189638
Author:
Griffiths, David J., Schroeter, Darrell F.
Publisher:
Cambridge University Press
College Physics
Physics
ISBN:
9781305952300
Author:
Raymond A. Serway, Chris Vuille
Publisher:
Cengage Learning
University Physics (14th Edition)
Physics
ISBN:
9780133969290
Author:
Hugh D. Young, Roger A. Freedman
Publisher:
PEARSON
Introduction To Quantum Mechanics
Physics
ISBN:
9781107189638
Author:
Griffiths, David J., Schroeter, Darrell F.
Publisher:
Cambridge University Press
Physics for Scientists and Engineers
Physics
ISBN:
9781337553278
Author:
Raymond A. Serway, John W. Jewett
Publisher:
Cengage Learning
Lecture- Tutorials for Introductory Astronomy
Physics
ISBN:
9780321820464
Author:
Edward E. Prather, Tim P. Slater, Jeff P. Adams, Gina Brissenden
Publisher:
Addison-Wesley
College Physics: A Strategic Approach (4th Editio…
Physics
ISBN:
9780134609034
Author:
Randall D. Knight (Professor Emeritus), Brian Jones, Stuart Field
Publisher:
PEARSON