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
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**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 \( N < mg \).
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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