### Correct Option: A. 0 N ### Detailed Explanation: To determine the net force acting on the box, we need to analyze the forces that are acting on it. In this scenario, we have two forces at play: 1. **Applied Force (F_applied)**: This is the force being exerted on the box to the right, which is given as 50 N. 2. **Frictional Force (F_friction)**: This is the force opposing the motion of the box, acting to the left, which is also given as 50 N. #### Step-by-Step Analysis: 1. **Identify the Direction of Forces**: - The applied force is directed to the right (let's consider this as the positive direction). - The frictional force is directed to the left (which we can consider as the negative direction). 2. **Assign Values to Forces**: - F_applied = +50 N (to the right) - F_friction = -50 N (to the left) 3. **Calculate the Net Force (F_net)**: The net force can be calculated using the formula: \[ F_{net} = F_{applied} + F_{friction} \] Substituting the values: \[ F_{net} = 50 \, \text{N} + (-50 \, \text{N}) = 50 \, \text{N} - 50 \, \text{N} = 0 \, \text{N} \] 4. **Interpret the Result**: A net force of 0 N means that the forces acting on the box are balanced. This indicates that the box will not accelerate in either direction; it will remain at rest if it was initially at rest. ### Why Other Options Are Incorrect: - **Option B: 50 N to the right**: This option suggests that the box would accelerate to the right. However, since the frictional force exactly balances the applied force, there is no net force to cause acceleration in that direction. - **Option C: 50 N to the left**: This option implies that the box would accelerate to the left due to the frictional force. While the frictional force does act to the left, it is balanced by the applied force, resulting in no net force. - **Option D: 100 N to the right**: This option suggests that the box would experience a net force of 100 N to the right, which is incorrect. The forces are equal and opposite, leading to a net force of 0 N, not a sum of the two forces. ### Common Pitfalls: - **Misunderstanding Balanced Forces**: Students often confuse the concept of balanced forces with motion. A net force of 0 N means no acceleration, not that the box is moving. - **Forgetting to Consider Direction**: When calculating net forces, it’s crucial to pay attention to the direction of each force. Neglecting to assign positive and negative signs can lead to incorrect conclusions. ### Revision Summary: - The net force is calculated by summing all forces, considering their directions. - A net force of 0 N indicates that the forces are balanced, resulting in no acceleration. - Always assign directions to forces to avoid confusion in calculations. - Remember that balanced forces do not imply motion; they indicate a state of equilibrium.