The figure above shows the forces exerted on a block that is sliding on a rough horizontal surface: The weight of the block is 500 N, the normal force is 500 N, the frictional force is 100 N, and there is an unknown force F exerted to the right. The acceleration of the block is 0.4 m/s2. The value of F is most nearly
The figure above shows the forces exerted on a block that is sliding on a rough horizontal surface: The weight of the block is 500 N, the normal force is 500 N, the frictional force is 100 N, and there is an unknown force F exerted to the right. The acceleration of the block is 0.4 m/s2. The value of F is most nearly
College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
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The figure above shows the forces exerted on a block that is sliding on a rough horizontal surface: The weight of the block is 500 N, the normal force is 500 N, the frictional force is 100 N, and there is an unknown force F exerted to the right. The acceleration of the block is 0.4 m/s2. The value of F is most nearly

Transcribed Image Text:The figure above shows the forces exerted on a block that is sliding on a rough horizontal surface: The weight of the block is \(500 \, \text{N}\), the normal force is \(500 \, \text{N}\), the frictional force is \(100 \, \text{N}\), and there is an unknown force \(F\) exerted to the right. The acceleration of the block is \(0.4 \, \text{m/s}^2\). The value of \(F\) is most nearly:
A) \(20 \, \text{N}\)
B) \(80 \, \text{N}\)
C) \(110 \, \text{N}\)
D) \(120 \, \text{N}\)

Transcribed Image Text:The diagram illustrates a force equilibrium scenario involving a box. Here’s a detailed explanation of the forces acting on the box:
1. **Vertical Forces:**
- An upward force of 500 N is applied at the top of the box.
- A downward force of 500 N is applied at the bottom of the box.
- These forces are equal in magnitude and opposite in direction, indicating they are balanced vertically, resulting in no net vertical force.
2. **Horizontal Forces:**
- A leftward force of 100 N acts on the left side of the box.
- A rightward force, labeled as \( F \), acts on the right side of the box.
- To achieve horizontal equilibrium, \( F \) must be 100 N, counterbalancing the leftward force.
This setup illustrates a case in which the forces on a body are balanced, achieving both vertical and horizontal equilibrium.
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