Which of these sets of forces is balanced?

Options

A.
B.
C.
D.

Answer

To determine which set of forces is balanced, we need to analyze each option provided. A balanced set of forces occurs when the net force acting on an object is zero, meaning that all forces cancel each other out.

### Step-by-Step Solution:

1. **Analyze Option A:**
- Forces: 8N (right) and 6N (right)
- Calculation:
- Total force = 8N + 6N = 14N (right)
- Conclusion: The net force is 14N to the right, so this option is **not balanced**.

2. **Analyze Option B:**
- Forces: 28N (right), 9N (right), and 36N (left)
- Calculation:
- Total force on the right = 28N + 9N = 37N
- Total force on the left = 36N
- Net force = 37N (right) - 36N (left) = 1N (right)
- Conclusion: The net force is 1N to the right, so this option is **not balanced**.

3. **Analyze Option C:**
- Forces: 62N (right), 17N (left), and 45N (left)
- Calculation:
- Total force on the left = 17N + 45N = 62N
- Total force on the right = 62N
- Net force = 62N (right) - 62N (left) = 0N
- Conclusion: The net force is 0N, so this option is **balanced**.

4. **Analyze Option D:**
- Forces: 16N (left) and 16N (left)
- Calculation:
- Total force on the left = 16N + 16N = 32N
- Total force on the right = 0N
- Net force = 32N (left) - 0N (right) = 32N (left)
- Conclusion: The net force is 32N to the left, so this option is **not balanced**.

### Final Answer:
The correct answer is **Option C**, as it is the only set of forces that is balanced.

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