Which pair of forces would lead to a net force of 106 N acting towards the right?

Options

A. A force of 104 N acting towards the right and a force of 210 N acting towards the left
B. A force of 57 N acting towards the right and a force of 49 N acting towards the right
C. A force of 107 N acting towards the right and a force of 1 N acting towards the right
D. None of these

Answer

To determine which pair of forces would lead to a net force of 106 N acting towards the right, we need to analyze the options provided and calculate the net forces accordingly.

### Step-by-Step Solution:

1. **Understanding Net Force**:
- The net force is the vector sum of all the forces acting on an object. If forces are acting in opposite directions, we subtract the smaller force from the larger one.

2. **Analyzing Option 1**:
- Option 1 states a force of 104 N towards the right and a force of 210 N towards the left.
- Calculation:
- Right force = 104 N
- Left force = 210 N
- Net force = Right force - Left force = 104 N - 210 N = -106 N (This indicates a net force of 106 N towards the left).
- Conclusion: This option does not satisfy the requirement of a net force of 106 N towards the right.

3. **Analyzing Option 2**:
- Option 2 states a force of 57 N towards the right and a force of 49 N towards the right.
- Calculation:
- Right force = 57 N + 49 N = 106 N
- Conclusion: This results in a net force of 106 N towards the right, which satisfies the requirement.

4. **Analyzing Option 3**:
- Option 3 states a force of 107 N towards the right and a force of 1 N towards the right.
- Calculation:
- Right force = 107 N + 1 N = 108 N
- Conclusion: This results in a net force of 108 N towards the right, which does not satisfy the requirement.

5. **Final Decision**:
- Based on the analysis, the only option that provides a net force of 106 N acting towards the right is **Option 2**.

### Final Answer:
The correct pair of forces that would lead to a net force of 106 N acting towards the right is **Option 2: a force of 57 N towards the right and a force of 49 N towards the right**.