Worksheet for calculating net forces on objects with multiple force vectors.

Let's solve each of the problems step by step. The goal is to:

1. Calculate the net force on the box by adding all forces acting on it (considering direction: right is positive, left is negative).
2. Write the net force with correct units (Newtons, N).
3. Determine if the forces are balanced (net force = 0) or unbalanced (net force ≠ 0).
4. Circle the arrow that shows the direction of the net force.

We’ll go through each example:

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A.

- Forces:
- 225 N → (to the right)
- No opposing force shown.
- Net Force = 225 N to the right

✔ Net Force: 225 N →
✔ Balanced or Unbalanced? Unbalanced
✔ Direction: Circle the → arrow

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B.

- Forces:
- 75 N ← (to the left)
- No other force shown.
- Net Force = 75 N to the left

✔ Net Force: 75 N ←
✔ Balanced or Unbalanced? Unbalanced
✔ Direction: Circle the ← arrow

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C.

- Forces:
- 50 N → (right)
- 50 N ← (left)
- 100 N ← (left)

Add them:
- Right: +50 N
- Left: –50 N – 100 N = –150 N
- Net Force = 50 N – 150 N = –100 N → 100 N to the left

✔ Net Force: 100 N ←
✔ Balanced or Unbalanced? Unbalanced
✔ Direction: Circle the ← arrow

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D.

- Forces:
- 792 N → (right)
- 632 N → (right)
- 100 N → (right)
- 400 N ← (left)
- 900 N ← (left)

Sum of rightward forces:
792 + 632 + 100 = 1524 N →

Sum of leftward forces:
400 + 900 = 1300 N ←

Net Force = 1524 N – 1300 N = 224 N to the right

✔ Net Force: 224 N →
✔ Balanced or Unbalanced? Unbalanced
✔ Direction: Circle the → arrow

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E.

- Forces:
- 550 N → (right)
- 750 N → (right)
- 250 N → (right)
- 1563 N ← (left)

Total right: 550 + 750 + 250 = 1550 N →
Left: 1563 N ←

Net Force = 1550 N – 1563 N = –13 N → 13 N to the left

✔ Net Force: 13 N ←
✔ Balanced or Unbalanced? Unbalanced
✔ Direction: Circle the ← arrow

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F.

- Forces:
- 987,256 N → (right)
- 993,267 N ← (left)

Net Force = 987,256 N – 993,267 N = –6,011 N → 6,011 N to the left

✔ Net Force: 6,011 N ←
✔ Balanced or Unbalanced? Unbalanced
✔ Direction: Circle the ← arrow

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✔ Final Answers:

| Example | Net Force | Balanced/Unbalanced | Direction Arrow |
|--------|-------------------|---------------------|------------------|
| A | 225 N → | Unbalanced | → |
| B | 75 N ← | Unbalanced | ← |
| C | 100 N ← | Unbalanced | ← |
| D | 224 N → | Unbalanced | → |
| E | 13 N ← | Unbalanced | ← |
| F | 6,011 N ← | Unbalanced | ← |

> Note: In all cases, the forces are unbalanced because there is a non-zero net force. Only if the total forces in opposite directions were equal would they be balanced.

Let me know if you'd like this formatted as a printable answer sheet!