Suppose two children push horizontally, but in exactly opposite directions, on a third child in a wagon. The first child exerts a force of 72.0 N, the second. force of 87.0 N, friction is 9.00 N, and the mass of the third child plus wagon is 23.0 kg. (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 children outside the wagon. the wagon the child in the wagon (b) Draw a free-body diagram, including all forces acting on the system. F₁ F₁ 31 N Ĵ N W W F₂ F₂ (c) Calculate the acceleration in m/s2. (Enter the magnitude.) m/s2 N F₂ 4 F₁ W Î₁ Ĵ (d) What would the acceleration be (in m/s2) if friction were 15.0 N? (Enter the magnitude.) m/s2 F₂

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)...
icon
Related questions
Topic Video
Question
Must answer ALL parts for upvote
**Physics Problem: Children's Wagon Acceleration**

Suppose two children push horizontally, but in exactly opposite directions, on a third child in a wagon. The first child exerts a force of 72.0 N, the second a force of 87.0 N, friction is 9.00 N, and the mass of the third child plus wagon is 23.0 kg.

**(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 children outside the wagon
- [ ] the wagon
- [ ] the child in the wagon

**(b)** Draw a free-body diagram, including all forces acting on the system.

**Free-Body Diagram Explanation:**

Four diagrams are presented that need to be analyzed:

1. **Diagram 1:**
   - Forces are depicted with the following labels:
     - \( \vec{N} \) (Normal force) upwards.
     - \( \vec{T} \) (Tangential force) leftwards.
     - \( \vec{F_2} \) (Force by second child) rightwards.
     - \( \vec{F_1} \) (Force by first child) leftwards.
     - \( \vec{W} \) (Weight force) downwards.
   
2. **Diagram 2:**
   - Similar to Diagram 1 with arrows in the same direction.
   
3. **Diagram 3:**
   - Similar arrangement to Diagram 1 and 2, featuring consistent force arrows.
   
4. **Diagram 4:**
   - Similar directional layout, arrows showing interaction of forces.

**(c)** Calculate the acceleration in \( \text{m/s}^2 \). (Enter the magnitude.)

\[ \boxed{ \text{ }} \text{m/s}^2 \]

**(d)** What would the acceleration be (in \( \text{m/s}^2 \)) if friction were 15.0 N? (Enter the magnitude.)

\[ \boxed{ \text{ }} \text{m/s}^2 \]

---

These components are integral for solving problems involving Newtonian mechanics, specifically emphasizing the calculation of acceleration due to applied forces and resistance such as friction.
Transcribed Image Text:**Physics Problem: Children's Wagon Acceleration** Suppose two children push horizontally, but in exactly opposite directions, on a third child in a wagon. The first child exerts a force of 72.0 N, the second a force of 87.0 N, friction is 9.00 N, and the mass of the third child plus wagon is 23.0 kg. **(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 children outside the wagon - [ ] the wagon - [ ] the child in the wagon **(b)** Draw a free-body diagram, including all forces acting on the system. **Free-Body Diagram Explanation:** Four diagrams are presented that need to be analyzed: 1. **Diagram 1:** - Forces are depicted with the following labels: - \( \vec{N} \) (Normal force) upwards. - \( \vec{T} \) (Tangential force) leftwards. - \( \vec{F_2} \) (Force by second child) rightwards. - \( \vec{F_1} \) (Force by first child) leftwards. - \( \vec{W} \) (Weight force) downwards. 2. **Diagram 2:** - Similar to Diagram 1 with arrows in the same direction. 3. **Diagram 3:** - Similar arrangement to Diagram 1 and 2, featuring consistent force arrows. 4. **Diagram 4:** - Similar directional layout, arrows showing interaction of forces. **(c)** Calculate the acceleration in \( \text{m/s}^2 \). (Enter the magnitude.) \[ \boxed{ \text{ }} \text{m/s}^2 \] **(d)** What would the acceleration be (in \( \text{m/s}^2 \)) if friction were 15.0 N? (Enter the magnitude.) \[ \boxed{ \text{ }} \text{m/s}^2 \] --- These components are integral for solving problems involving Newtonian mechanics, specifically emphasizing the calculation of acceleration due to applied forces and resistance such as friction.
Expert Solution
Step 1

a)

The first child and second child exert external forces on the wagon, but they are not the area of interest. Since the acceleration of the child in the wagon is to be calculated, the child in the wagon will be the area of interest.

steps

Step by step

Solved in 4 steps with 1 images

Blurred answer
Knowledge Booster
First law of motion
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
College Physics
Physics
ISBN:
9781305952300
Author:
Raymond A. Serway, Chris Vuille
Publisher:
Cengage Learning
University Physics (14th Edition)
University Physics (14th Edition)
Physics
ISBN:
9780133969290
Author:
Hugh D. Young, Roger A. Freedman
Publisher:
PEARSON
Introduction To Quantum Mechanics
Introduction To Quantum Mechanics
Physics
ISBN:
9781107189638
Author:
Griffiths, David J., Schroeter, Darrell F.
Publisher:
Cambridge University Press
Physics for Scientists and Engineers
Physics for Scientists and Engineers
Physics
ISBN:
9781337553278
Author:
Raymond A. Serway, John W. Jewett
Publisher:
Cengage Learning
Lecture- Tutorials for Introductory Astronomy
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…
College Physics: A Strategic Approach (4th Editio…
Physics
ISBN:
9780134609034
Author:
Randall D. Knight (Professor Emeritus), Brian Jones, Stuart Field
Publisher:
PEARSON