3. A boy pulls a 27.0-kg box with a 170-N force at 33° above a horizontal surface. If the coefficient of kinetic friction between the box and the horizontal surface is 0.28 and the box is pulled a distance of 40.0 m, what is the net work do on the box? J 60 ssiu ssf60 f60 ssi f60
3. A boy pulls a 27.0-kg box with a 170-N force at 33° above a horizontal surface. If the coefficient of kinetic friction between the box and the horizontal surface is 0.28 and the box is pulled a distance of 40.0 m, what is the net work do on the box? J 60 ssiu ssf60 f60 ssi f60
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
Topic Video
Question
![### Physics Problem: Net Work Done on a Box on a Horizontal Surface
**Problem Statement:**
A boy pulls a 27.0-kg box with a 170-N force at 33° above a horizontal surface. If the coefficient of kinetic friction between the box and the horizontal surface is 0.28 and the box is pulled a distance of 40.0 m, what is the net work done on the box?
**Given:**
- Mass of the box (m): 27.0 kg
- Applied force (F): 170 N
- Angle of the applied force above the horizontal (θ): 33°
- Coefficient of kinetic friction (μ_k): 0.28
- Distance moved (d): 40.0 m
**Solution:**
Let's break the problem into steps to find the net work done on the box.
1. **Horizontal Component of the Applied Force:**
\[ F_{\text{horizontal}} = F \cos(θ) \]
\[ F_{\text{horizontal}} = 170 \, \text{N} \cos(33°) \]
2. **Vertical Component of the Applied Force:**
\[ F_{\text{vertical}} = F \sin(θ) \]
\[ F_{\text{vertical}} = 170 \, \text{N} \sin(33°) \]
3. **Normal Force:**
The normal force (\( F_N \)) can be found by considering the vertical forces acting on the box. It is reduced by the vertical component of the applied force.
\[ F_N = mg - F_{\text{vertical}} \]
4. **Force of Kinetic Friction:**
\[ F_{\text{kinetic friction}} = μ_k F_N \]
5. **Work Done by the Applied Force:**
\[ W_{\text{applied}} = F_{\text{horizontal}} \times d \]
6. **Work Done Against Friction:**
\[ W_{\text{friction}} = F_{\text{kinetic friction}} \times d \]
7. **Net Work Done on the Box:**
\[ W_{\text{net}} = W_{\text{applied}} - W_{\text{friction}} \]
Plugging in the values correctly, compute each step, and finally, you will obtain the net work done. Don't forget to check units at each step to ensure consistency.
**Calculated Answer](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F2c6fb9be-cb3b-43fd-a6cc-90b4ac965f54%2F027e225e-09c3-4cde-8215-5fa6aeb3182e%2F1e9xhsq_processed.png&w=3840&q=75)
Transcribed Image Text:### Physics Problem: Net Work Done on a Box on a Horizontal Surface
**Problem Statement:**
A boy pulls a 27.0-kg box with a 170-N force at 33° above a horizontal surface. If the coefficient of kinetic friction between the box and the horizontal surface is 0.28 and the box is pulled a distance of 40.0 m, what is the net work done on the box?
**Given:**
- Mass of the box (m): 27.0 kg
- Applied force (F): 170 N
- Angle of the applied force above the horizontal (θ): 33°
- Coefficient of kinetic friction (μ_k): 0.28
- Distance moved (d): 40.0 m
**Solution:**
Let's break the problem into steps to find the net work done on the box.
1. **Horizontal Component of the Applied Force:**
\[ F_{\text{horizontal}} = F \cos(θ) \]
\[ F_{\text{horizontal}} = 170 \, \text{N} \cos(33°) \]
2. **Vertical Component of the Applied Force:**
\[ F_{\text{vertical}} = F \sin(θ) \]
\[ F_{\text{vertical}} = 170 \, \text{N} \sin(33°) \]
3. **Normal Force:**
The normal force (\( F_N \)) can be found by considering the vertical forces acting on the box. It is reduced by the vertical component of the applied force.
\[ F_N = mg - F_{\text{vertical}} \]
4. **Force of Kinetic Friction:**
\[ F_{\text{kinetic friction}} = μ_k F_N \]
5. **Work Done by the Applied Force:**
\[ W_{\text{applied}} = F_{\text{horizontal}} \times d \]
6. **Work Done Against Friction:**
\[ W_{\text{friction}} = F_{\text{kinetic friction}} \times d \]
7. **Net Work Done on the Box:**
\[ W_{\text{net}} = W_{\text{applied}} - W_{\text{friction}} \]
Plugging in the values correctly, compute each step, and finally, you will obtain the net work done. Don't forget to check units at each step to ensure consistency.
**Calculated Answer
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 2 steps with 2 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