A box is being pulled to the right at steady speed by a rope that angles upward. In this situation, which of the following best reflects the magnitude of the normal force N between the box and the ground?
A box is being pulled to the right at steady speed by a rope that angles upward. In this situation, which of the following best reflects the magnitude of the normal force N between the box and the ground?
Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
Section: Chapter Questions
Problem 1.1MA
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17
![**Educational Content: Understanding Normal Force**
A box is being pulled to the right at a steady speed by a rope that angles upward. In this situation, which of the following best reflects the magnitude of the normal force \( N \) between the box and the ground?
**Diagram Explanation:**
- The diagram depicts a box with mass \( m \).
- A green arrow labeled \( \vec{v} \) indicates the direction of motion to the right.
- A red arrow labeled \( \vec{T} \) represents the tension in the rope, angled above the horizontal.
- The box is in contact with a flat surface.
**Multiple Choice Options:**
- \( N = mg \)
- \( N < mg \)
- \( N > mg \)
- Not enough information to judge the size of the normal force
- \( N = 0 \)
**Key Concepts:**
- The normal force \( N \) is the force exerted by a surface perpendicular to the object.
- The tension forces can have horizontal and vertical components.
- The vertical component of tension affects the actual normal force compared to the gravitational force \( mg \).
**Solution Approach:**
The vertical component of the tension force reduces the normal force on the box, causing \( N \) to be less than \( mg \). Therefore, the correct answer is \( N < mg \).](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F0fd531f0-250f-490d-993a-3449a32c15bc%2Fe5de76c1-253a-4822-8ca0-f3e09da07541%2Fykbniia_processed.png&w=3840&q=75)
Transcribed Image Text:**Educational Content: Understanding Normal Force**
A box is being pulled to the right at a steady speed by a rope that angles upward. In this situation, which of the following best reflects the magnitude of the normal force \( N \) between the box and the ground?
**Diagram Explanation:**
- The diagram depicts a box with mass \( m \).
- A green arrow labeled \( \vec{v} \) indicates the direction of motion to the right.
- A red arrow labeled \( \vec{T} \) represents the tension in the rope, angled above the horizontal.
- The box is in contact with a flat surface.
**Multiple Choice Options:**
- \( N = mg \)
- \( N < mg \)
- \( N > mg \)
- Not enough information to judge the size of the normal force
- \( N = 0 \)
**Key Concepts:**
- The normal force \( N \) is the force exerted by a surface perpendicular to the object.
- The tension forces can have horizontal and vertical components.
- The vertical component of tension affects the actual normal force compared to the gravitational force \( mg \).
**Solution Approach:**
The vertical component of the tension force reduces the normal force on the box, causing \( N \) to be less than \( mg \). Therefore, the correct answer is \( N < mg \).
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