Net force calculation problems with forces in newtons and directions.

To solve the problems in the "Net Force Worksheet," we need to calculate the net force acting on each box by summing up all the forces acting on it. The direction of the net force will be determined by the resultant vector after considering the directions of individual forces.

Key Points:

1. Forces Acting to the Right: Consider as positive (+).
2. Forces Acting to the Left: Consider as negative (−).
3. Net Force: Sum of all forces.
4. Direction: Based on the sign of the net force:
- Positive: Right
- Negative: Left

Solutions:

#### Problem 1:
- Forces: \( 4 \, \text{N} \) (left)
- Net Force: \( -4 \, \text{N} \) (left)

#### Problem 2:
- Forces: \( 7 \, \text{N} \) (left), \( 2 \, \text{N} \) (right)
- Net Force: \( -7 + 2 = -5 \, \text{N} \) (left)

#### Problem 3:
- Forces: \( 4 \, \text{N} \) (right), \( 4 \, \text{N} \) (left)
- Net Force: \( 4 - 4 = 0 \, \text{N} \) (no net force)

#### Problem 4:
- Forces: \( 6 \, \text{N} \) (right), \( 3 \, \text{N} \) (right)
- Net Force: \( 6 + 3 = 9 \, \text{N} \) (right)

#### Problem 5:
- Forces: \( 8 \, \text{N} \) (left), \( 4 \, \text{N} \) (right)
- Net Force: \( -8 + 4 = -4 \, \text{N} \) (left)

#### Problem 6:
- Forces: \( 4 \, \text{N} \) (right), \( 5 \, \text{N} \) (left)
- Net Force: \( 4 - 5 = -1 \, \text{N} \) (left)

#### Problem 7:
- Forces: \( 3 \, \text{N} \) (left), \( 3 \, \text{N} \) (left)
- Net Force: \( -3 - 3 = -6 \, \text{N} \) (left)

#### Problem 8:
- Forces: \( 2 \, \text{N} \) (right), \( 4 \, \text{N} \) (right), \( 5 \, \text{N} \) (left)
- Net Force: \( 2 + 4 - 5 = 1 \, \text{N} \) (right)

#### Problem 9:
- Forces: \( 6 \, \text{N} \) (left), \( 3 \, \text{N} \) (right)
- Net Force: \( -6 + 3 = -3 \, \text{N} \) (left)

#### Problem 10:
- Forces: \( 7 \, \text{N} \) (left), \( 4 \, \text{N} \) (right), \( 4 \, \text{N} \) (right)
- Net Force: \( -7 + 4 + 4 = 1 \, \text{N} \) (right)

Final Answers:

1. \( \boxed{-4 \, \text{N} \, (\text{left})} \)
2. \( \boxed{-5 \, \text{N} \, (\text{left})} \)
3. \( \boxed{0 \, \text{N}} \)
4. \( \boxed{9 \, \text{N} \, (\text{right})} \)
5. \( \boxed{-4 \, \text{N} \, (\text{left})} \)
6. \( \boxed{-1 \, \text{N} \, (\text{left})} \)
7. \( \boxed{-6 \, \text{N} \, (\text{left})} \)
8. \( \boxed{1 \, \text{N} \, (\text{right})} \)
9. \( \boxed{-3 \, \text{N} \, (\text{left})} \)
10. \( \boxed{1 \, \text{N} \, (\text{right})} \)