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Force diagrams illustrating balanced and unbalanced forces in various motion scenarios.

Four force diagrams showing different scenarios: a car moving forward with balanced forces, a person running with unbalanced forces, a ball falling with gravity and air resistance, and a person on a sled with unbalanced forces.

Four force diagrams showing different scenarios: a car moving forward with balanced forces, a person running with unbalanced forces, a ball falling with gravity and air resistance, and a person on a sled with unbalanced forces.

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Show Answer Key & Explanations Step-by-step solution for: Force Diagrams (Resultant, Equilibrium)
Let's analyze each of the force diagrams in your image to determine whether the forces are balanced or unbalanced, and if unbalanced, what the resultant force is and what is happening to the object.

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Diagram 1: Car


- Forces:
- Left: 800 N
- Right: 1000 N
- Analysis: The forces are not equal. The net force is:
$$
1000\,\text{N} - 800\,\text{N} = 200\,\text{N to the right}
$$
- Conclusion: Unbalanced forces → Resultant force = 200 N to the right
- What’s happening?: The car is accelerating to the right.

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Diagram 2: Person Running


- Forces:
- Left: 200 N (probably air resistance or friction)
- Right: 300 N (pushing forward)
- Analysis: Net force:
$$
300\,\text{N} - 200\,\text{N} = 100\,\text{N to the right}
$$
- Conclusion: Unbalanced forces → Resultant force = 100 N to the right
- What’s happening?: The person is accelerating forward.

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Diagram 3: Red Ball (with arrows)


- Forces:
- Up: 200 N (likely tension or upward push)
- Down: 200 N (gravity)
- Analysis: Equal and opposite forces.
$$
200\,\text{N} - 200\,\text{N} = 0\,\text{N}
$$
- Conclusion: Balanced forces
- What’s happening?: The ball is either at rest or moving at constant velocity (no acceleration).

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Diagram 4: Block on a Surface


- Forces:
- Down: 500 N (weight)
- Up: 500 N (normal force)
- Right: 100 N (applied force)
- Left: 100 N (friction)
- Analysis:
- Vertical: 500 N up vs. 500 N down → balanced
- Horizontal: 100 N right vs. 100 N left → balanced
- Net force = 0 N
- Conclusion: Balanced forces
- What’s happening?: The block is not accelerating — it may be at rest or moving at constant speed.

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Diagram 5: Table with Weight


- Forces:
- Down: 100 N (weight of table)
- Up: 100 N (support from ground)
- Analysis: Equal and opposite forces → net force = 0 N
- Conclusion: Balanced forces
- What’s happening?: The table is stationary or moving at constant velocity.

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Diagram 6: Sled on Incline


- Forces:
- Down the slope: 400 N (component of gravity)
- Up the slope: 300 N (pulling force)
- Analysis: Net force along the slope:
$$
400\,\text{N} - 300\,\text{N} = 100\,\text{N down the slope}
$$
- Conclusion: Unbalanced forces → Resultant force = 100 N down the slope
- What’s happening?: The sled is accelerating down the slope.

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Summary Table:



| Diagram | Balanced/Unbalanced | Resultant Force | What’s Happening |
|--------|---------------------|------------------|-------------------|
| 1 (Car) | Unbalanced | 200 N → right | Accelerating right |
| 2 (Person) | Unbalanced | 100 N → right | Accelerating forward |
| 3 (Ball) | Balanced | 0 N | Constant velocity or at rest |
| 4 (Block) | Balanced | 0 N | No acceleration |
| 5 (Table) | Balanced | 0 N | Stationary or constant velocity |
| 6 (Sled) | Unbalanced | 100 N ↓ slope | Accelerating down slope |

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Final Answer:


You should label each diagram as follows:

1. Unbalanced, resultant force: 200 N to the right, object is accelerating to the right
2. Unbalanced, resultant force: 100 N to the right, object is accelerating forward
3. Balanced, no resultant force, object is in equilibrium (rest or constant velocity)
4. Balanced, no resultant force, object is not accelerating
5. Balanced, no resultant force, object is stationary
6. Unbalanced, resultant force: 100 N down the slope, object is accelerating down the slope

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