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
![### Question:
**(c)** Calculate the acceleration (in m/s²).
- [Text Box for Answer] m/s²
**(d)** What would the acceleration (in m/s²) be if friction is 20.0 N?
- [Text Box for Answer] m/s²
---
### Diagram Explanation:
The image contains a free-body diagram with a central point where four forces are acting. The forces are as follows:
- \( \mathbf{N} \): A force acting upwards (typically representing the normal force).
- \( \mathbf{F_2} \): A force acting to the right.
- \( \mathbf{W} \): A force acting downwards (typically representing the weight).
- \( \mathbf{F_1} \): A force acting to the left.
Each force is represented by an arrow pointing in the direction of the force. The lengths of the arrows are not specified but generally, the diagram illustrates the direction of the forces acting on an object.
---
### Additional Materials:
- **Reading**](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F89b31de9-9e09-43de-a63c-6be0409c87b3%2F93d8c476-8244-4a79-801d-1456c8e6846c%2F1pkm6fj_processed.jpeg&w=3840&q=75)
Transcribed Image Text:### Question:
**(c)** Calculate the acceleration (in m/s²).
- [Text Box for Answer] m/s²
**(d)** What would the acceleration (in m/s²) be if friction is 20.0 N?
- [Text Box for Answer] m/s²
---
### Diagram Explanation:
The image contains a free-body diagram with a central point where four forces are acting. The forces are as follows:
- \( \mathbf{N} \): A force acting upwards (typically representing the normal force).
- \( \mathbf{F_2} \): A force acting to the right.
- \( \mathbf{W} \): A force acting downwards (typically representing the weight).
- \( \mathbf{F_1} \): A force acting to the left.
Each force is represented by an arrow pointing in the direction of the force. The lengths of the arrows are not specified but generally, the diagram illustrates the direction of the forces acting on an object.
---
### Additional Materials:
- **Reading**
![**Physics Problem: Free-Body Diagram Analysis**
**Scenario:**
Suppose two children push horizontally, but in exactly opposite directions, on a wagon containing a third child. The first child exerts a force of \( F_1 = 75.0 \, \text{N} \), the second a force of \( F_2 = 95.0 \, \text{N} \), friction is \( 12.0 \, \text{N} \), and the mass of the third child plus wagon is \( 22.0 \, \text{kg} \).
**Questions:**
**(a)**
What is the system of interest if the acceleration of the child in the wagon is to be calculated? (Select all that apply.)
- [ ] the wagon
- [ ] the child in the wagon
- [ ] the children outside the wagon
**(b)**
Which of the following diagrams correctly represents the free body diagram for the situation described here?
**Diagram Analysis:**
1. **First Diagram:**
- **Forces in Horizontal Direction:** \( F_1 \) to the left and \( F_2 \) to the right.
- **Forces in Vertical Direction:** \( N \) upward (normal force) and \( W \) downward (weight).
- **Friction (f):** Directed leftward opposing \( F_2 \).
2. **Second Diagram:**
- **Forces in Horizontal Direction:** \( F_1 \) to the left, \( F_2 \) to the right.
- **Forces in Vertical Direction:** \( N \) downward and \( W \) upward.
- **Friction (f):** Directed leftward opposing \( F_2 \).
3. **Third Diagram:**
- **Forces in Horizontal Direction:** \( F_1 \) to the right, \( F_2 \) to the left.
- **Forces in Vertical Direction:** \( N \) upward and \( W \) downward.
- **Friction (f):** Directed leftward opposing \( F_2 \).
**Note:** To solve for the correct free-body diagram, consider the direction of each force and the opposition due to friction correctly.
Please review the diagrams and select the answer that scenarios reflect the correct free-body diagram for the given problem.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F89b31de9-9e09-43de-a63c-6be0409c87b3%2F93d8c476-8244-4a79-801d-1456c8e6846c%2Fdjedki_processed.jpeg&w=3840&q=75)
Transcribed Image Text:**Physics Problem: Free-Body Diagram Analysis**
**Scenario:**
Suppose two children push horizontally, but in exactly opposite directions, on a wagon containing a third child. The first child exerts a force of \( F_1 = 75.0 \, \text{N} \), the second a force of \( F_2 = 95.0 \, \text{N} \), friction is \( 12.0 \, \text{N} \), and the mass of the third child plus wagon is \( 22.0 \, \text{kg} \).
**Questions:**
**(a)**
What is the system of interest if the acceleration of the child in the wagon is to be calculated? (Select all that apply.)
- [ ] the wagon
- [ ] the child in the wagon
- [ ] the children outside the wagon
**(b)**
Which of the following diagrams correctly represents the free body diagram for the situation described here?
**Diagram Analysis:**
1. **First Diagram:**
- **Forces in Horizontal Direction:** \( F_1 \) to the left and \( F_2 \) to the right.
- **Forces in Vertical Direction:** \( N \) upward (normal force) and \( W \) downward (weight).
- **Friction (f):** Directed leftward opposing \( F_2 \).
2. **Second Diagram:**
- **Forces in Horizontal Direction:** \( F_1 \) to the left, \( F_2 \) to the right.
- **Forces in Vertical Direction:** \( N \) downward and \( W \) upward.
- **Friction (f):** Directed leftward opposing \( F_2 \).
3. **Third Diagram:**
- **Forces in Horizontal Direction:** \( F_1 \) to the right, \( F_2 \) to the left.
- **Forces in Vertical Direction:** \( N \) upward and \( W \) downward.
- **Friction (f):** Directed leftward opposing \( F_2 \).
**Note:** To solve for the correct free-body diagram, consider the direction of each force and the opposition due to friction correctly.
Please review the diagrams and select the answer that scenarios reflect the correct free-body diagram for the given problem.
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
Step by step
Solved in 5 steps with 3 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