Which of these depicts a pair of balanced forces?

Options

A. A force of 5 N acting on a body to the right and a force of 10 N acting on it the left.
B. A force of 5 N acting on a body to the right and a force of 10 N acting on it to the right.
C. A force of 10 N acting on a body to the left and a force of 10 N acting on it to the right.
D. A force of 10 N acting on a body to the left and a force of 10 N acting on it to the left.

Answer

To determine which of the options depicts a pair of balanced forces, we need to understand the concept of balanced forces. Balanced forces occur when two forces acting on an object are equal in size but opposite in direction. Here’s how we can analyze the given options step by step:

### Step-by-Step Solution:

1. **Understand Balanced Forces**:
- Balanced forces are two forces that are equal in magnitude and act in opposite directions. When balanced forces act on an object, the object remains at rest or continues to move at a constant velocity.

2. **Analyze Option 1**:
- The first option describes a force of 5 Newtons acting to the right and a force of 10 Newtons acting to the left.
- Since 5N is not equal to 10N, these forces are not balanced.

3. **Analyze Option 2**:
- The second option describes a force of 5 Newtons acting to the right and another force of 10 Newtons also acting to the right.
- Both forces are in the same direction and do not cancel each other out, so these forces are also not balanced.

4. **Analyze Option 3**:
- The third option describes a force of 10 Newtons acting to the left and a force of 10 Newtons acting to the right.
- Here, both forces are equal in magnitude (10N) and opposite in direction. Therefore, these forces are balanced.

5. **Analyze Option 4**:
- The fourth option describes a force of 10 Newtons acting to the left and another force of 10 Newtons also acting to the left.
- Since both forces are acting in the same direction, they are not balanced.

6. **Conclusion**:
- The only option that depicts a pair of balanced forces is **Option 3**, where a force of 10N acts to the left and a force of 10N acts to the right.

### Final Answer:
The answer is **Option 3**.

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