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

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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

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 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) \(120 \, \text{N}\)
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.
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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