4.2 Balanced and Unbalanced Forces worksheet - Free Printable

Here is the complete solution for all 12 problems, based on the concept of balanced and unbalanced forces.

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🔍 Key Concept:

- Balanced Forces: When the net force (resultant force) acting on an object is 0 N, meaning forces in opposite directions are equal. The object remains stationary or moves at constant velocity.
- Unbalanced Forces: When the net force is not zero, meaning forces in opposite directions are unequal. The object will accelerate in the direction of the larger force.

To find the resultant force:
> Resultant Force = Larger Force – Smaller Force
> Direction: Toward the side with the larger force

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## ✔ Solutions:

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3.

- Left: 50N ←
- Right: 40N →
- Unbalanced (50N ≠ 40N)
- Resultant = 50N – 40N = 10N left

✔ Answer: Unbalanced, 10N left

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4.

- Left: 30N ←
- Right: 100N →
- Unbalanced (30N ≠ 100N)
- Resultant = 100N – 30N = 70N right

✔ Answer: Unbalanced, 70N right

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5.

- Left: 445N ←
- Right: 145N →
- Unbalanced (445N ≠ 145N)
- Resultant = 445N – 145N = 300N left

✔ Answer: Unbalanced, 300N left

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6.

- Left: 650N ←
- Right: 15N →
- Unbalanced (650N ≠ 15N)
- Resultant = 650N – 15N = 635N left

✔ Answer: Unbalanced, 635N left

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7.

- Left: 3872N ←
- Right: 3872N →
- Balanced (3872N = 3872N)
- Resultant = 0N → stationary

✔ Answer: Balanced, 0N stationary

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8.

- Left: 7N ←
- Right: 28N →
- Unbalanced (7N ≠ 28N)
- Resultant = 28N – 7N = 21N right

✔ Answer: Unbalanced, 21N right

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9.

- Left: 58N ←
- Right: 295N →
- Unbalanced (58N ≠ 295N)
- Resultant = 295N – 58N = 237N right

✔ Answer: Unbalanced, 237N right

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10.

- Left: 97N ←
- Right: 446N →
- Unbalanced (97N ≠ 446N)
- Resultant = 446N – 97N = 349N right

✔ Answer: Unbalanced, 349N right

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11.

- Left: 90N ←
- Right: 40N →
- Unbalanced (90N ≠ 40N)
- Resultant = 90N – 40N = 50N left

✔ Answer: Unbalanced, 50N left

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12.

- Left: 2N ←
- Right: 2N →
- Balanced (2N = 2N)
- Resultant = 0N → stationary

✔ Answer: Balanced, 0N stationary

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## 📝 Final Answers Summary:

| Question | Balanced/Unbalanced | Resultant Force & Direction |
|----------|----------------------|-------------------------------|
| 1 | Unbalanced | 50N right |
| 2 | Balanced | 0N stationary |
| 3 | Unbalanced | 10N left |
| 4 | Unbalanced | 70N right |
| 5 | Unbalanced | 300N left |
| 6 | Unbalanced | 635N left |
| 7 | Balanced | 0N stationary |
| 8 | Unbalanced | 21N right |
| 9 | Unbalanced | 237N right |
| 10 | Unbalanced | 349N right |
| 11 | Unbalanced | 50N left |
| 12 | Balanced | 0N stationary |

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Let me know if you’d like a visual diagram or explanation for any specific problem!