Two forces, F1 and F2, of equal magnitude act on a box as shown in the diagram. F1=-F F = F Which of the following statements is correct? Multiple Choice the object is accelerating to the right the object is accelerating to the left the object is accelerating both to the right and to the left the object is not accelerating in the horizontal direction it is impossible to determine the horizontal acceleration of the object without its mass

College Physics
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Chapter1: Units, Trigonometry. And Vectors
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**Physics Problem: Analyzing Forces on a Box**

In the given problem, two forces, \( F_1 \) and \( F_2 \), of equal magnitude are acting on a box. The forces are depicted in the diagram with \( F_1 = -F \) (pointing to the left) and \( F_2 = F \) (pointing to the right).

**Diagram Explanation:**

- A box is shown with two arrows: one on the left representing \( F_1 = -F \) and pointing left, and one on the right representing \( F_2 = F \) and pointing right.
- The forces are equal in magnitude but opposite in direction.

**Question:**

Which of the following statements is correct?

**Multiple Choice Options:**

- \( \circ \) The object is accelerating to the right.
- \( \circ \) The object is accelerating to the left.
- \( \circ \) The object is accelerating both to the right and to the left.
- \( \circ \) The object is not accelerating in the horizontal direction.
- \( \circ \) It is impossible to determine the horizontal acceleration of the object without its mass. 

**Solution:**

Given that the forces are equal in magnitude and opposite in direction, the net force on the box is zero. Therefore, the object is not accelerating in the horizontal direction.

Thus, the correct answer is: 

- \( \circ \) The object is not accelerating in the horizontal direction.
Transcribed Image Text:**Physics Problem: Analyzing Forces on a Box** In the given problem, two forces, \( F_1 \) and \( F_2 \), of equal magnitude are acting on a box. The forces are depicted in the diagram with \( F_1 = -F \) (pointing to the left) and \( F_2 = F \) (pointing to the right). **Diagram Explanation:** - A box is shown with two arrows: one on the left representing \( F_1 = -F \) and pointing left, and one on the right representing \( F_2 = F \) and pointing right. - The forces are equal in magnitude but opposite in direction. **Question:** Which of the following statements is correct? **Multiple Choice Options:** - \( \circ \) The object is accelerating to the right. - \( \circ \) The object is accelerating to the left. - \( \circ \) The object is accelerating both to the right and to the left. - \( \circ \) The object is not accelerating in the horizontal direction. - \( \circ \) It is impossible to determine the horizontal acceleration of the object without its mass. **Solution:** Given that the forces are equal in magnitude and opposite in direction, the net force on the box is zero. Therefore, the object is not accelerating in the horizontal direction. Thus, the correct answer is: - \( \circ \) The object is not accelerating in the horizontal direction.
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