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Irfan applied a force of 10N to push a box but the box did not move. Find the force which is acting on the object to keept it stationary.

A

Rolling friction of 9N in the same direction

B

Sliding friction of 11N in the same direction

C

Static friction of 10N in the opposite direction

D

Gravitational pull of 10N in the opposite direction.

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AI Generated Solution

The correct Answer is:
To solve the problem, we need to analyze the forces acting on the box when Irfan applies a force of 10 N to push it, but the box does not move. ### Step-by-Step Solution: 1. **Identify the Applied Force:** - Irfan applies a force of 10 N to push the box. This force is directed horizontally. 2. **Understand the Situation:** - The box does not move despite the applied force. This indicates that there is another force acting on the box that balances the applied force. 3. **Identify the Opposing Force:** - Since the box remains stationary, the force that keeps it from moving must be friction. In this case, it is static friction because the box is not sliding or rolling. 4. **Apply Newton's First Law:** - According to Newton's First Law, if an object is at rest, the net force acting on it must be zero. Therefore, the force of static friction must equal the applied force to maintain equilibrium. 5. **Calculate the Static Friction:** - Since the applied force is 10 N and the box does not move, the static friction force must also be 10 N but in the opposite direction. - Mathematically, we can express this as: \[ \text{Net Force} = \text{Applied Force} + \text{Static Friction} \] Since the box is stationary: \[ 0 = 10 \, \text{N} + F_{\text{static}} \] Rearranging gives: \[ F_{\text{static}} = -10 \, \text{N} \] - The negative sign indicates that the static friction force acts in the opposite direction to the applied force. 6. **Conclusion:** - The magnitude of the static friction force that keeps the box stationary is 10 N, acting in the opposite direction to the applied force. ### Final Answer: The force acting on the object to keep it stationary is **10 N of static friction in the opposite direction** of the applied force. ---
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