Choose the correct option for each question. There is only one correct response for each question.
Manav is applying a force of 50N towards the right on a box kept on the floor. The box, how ever, is not moving. What can you say about the frictional force acting on the box?

Options

A. Frictional force of 50N is acting on the box towards the right
B. Frictional force of 25N is acting on the box towards the right
C. Frictional force of 50N is acting on the box towards the left
D. Frictional force of 25N is acting on the box towards the left

Answer

To solve the problem, we need to analyze the forces acting on the box when Manav applies a force of 50 N to the right, and the box remains stationary.

### Step-by-Step Solution:

1. **Identify the Forces Acting on the Box**:
- Manav applies a force of 50 N to the right.
- There is a frictional force acting on the box, which opposes the applied force.

2. **Understand the Condition of the Box**:
- The box is not moving, which indicates that the net force acting on it is zero (F_net = 0).

3. **Set Up the Equation for Net Force**:
- According to Newton's First Law, if the box is at rest and not moving, the sum of the forces acting on it must equal zero.
- Therefore, we can write the equation:
\[ F_{\text{net}} = F_{\text{applied}} + F_{\text{friction}} = 0 \]
- Substituting the known values:
\[ 50 \, \text{N} + F_{\text{friction}} = 0 \]

4. **Solve for the Frictional Force**:
- Rearranging the equation gives:
\[ F_{\text{friction}} = -50 \, \text{N} \]
- The negative sign indicates that the direction of the frictional force is opposite to the direction of the applied force.

5. **Determine the Magnitude and Direction of the Frictional Force**:
- The magnitude of the frictional force is 50 N.
- The direction of the frictional force is to the left (opposite to the rightward applied force).

6. **Conclusion**:
- The frictional force acting on the box is 50 N towards the left.

### Final Answer:
The correct option is that the frictional force of 50 N is acting on the box towards the left.

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