Force diagrams illustrating balanced and unbalanced forces and their effects on motion.

Let's analyze each of the force diagrams in your image and 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: 1,000 N
- Analysis:
- The forces are not equal.
- Net force = 1,000 N (right) – 800 N (left) = 200 N to the right.
- Conclusion:
- Unbalanced forces.
- Resultant force: 200 N to the right.
- The car will accelerate to the right.

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Diagram 2: Person running

- Forces:
- Left: 200 N
- Right: 450 N
- Analysis:
- Not equal; net force = 450 N – 200 N = 250 N to the right.
- Conclusion:
- Unbalanced forces.
- Resultant force: 250 N to the right.
- The person is accelerating forward (to the right).

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Diagram 3: Red ball hanging

- Forces:
- Upward: 20 N
- Downward: 20 N
- Analysis:
- Equal and opposite forces.
- Net force = 0 N.
- Conclusion:
- Balanced forces.
- No acceleration. The ball is either at rest or moving at constant velocity.

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Diagram 4: Block on a surface with a string

- Forces:
- Upward: 200 N (string)
- Downward: 200 N (gravity)
- Analysis:
- Equal and opposite vertical forces → net vertical force = 0.
- But no horizontal forces shown? Wait — actually, there’s a horizontal force of 100 N to the left.
- However, there is no opposing horizontal force shown.
- So:
- Vertical: balanced (200 N up vs 200 N down).
- Horizontal: 100 N to the left → unbalanced.
- Conclusion:
- Unbalanced forces (due to horizontal force).
- Resultant force: 100 N to the left.
- The block will accelerate to the left.

> ⚠️ Note: If the block is on a surface, we might expect friction, but it's not shown. Assuming no friction, the 100 N force will cause motion.

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Diagram 5: Table with upward force

- Forces:
- Upward: 100 N (support from ground)
- Downward: 100 N (weight of table)
- Analysis:
- Equal and opposite forces.
- Net force = 0 N.
- Conclusion:
- Balanced forces.
- The table is stationary or moving at constant velocity.

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Diagram 6: Sled on an incline

- Forces:
- Parallel to slope: 400 N down the slope
- Perpendicular to slope: 200 N into the slope
- Analysis:
- There is a net force of 400 N down the slope.
- No opposing force along the slope is shown (like friction or tension), so this is unbalanced.
- Conclusion:
- Unbalanced forces.
- Resultant force: 400 N down the slope.
- The sled will accelerate 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 | 250 N → right | Accelerating forward |
| 3 (Ball) | Balanced | 0 N | At rest or constant velocity |
| 4 (Block) | Unbalanced | 100 N ← left | Accelerating left |
| 5 (Table) | Balanced | 0 N | Stationary or constant velocity |
| 6 (Sled) | Unbalanced | 400 N ↓ slope | Accelerating down slope |

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Let me know if you'd like this formatted for printing or need help drawing the diagrams!