Net Force Worksheet for calculating combined forces on objects, including direction.

To solve the problems on the "Net Force Worksheet," we need to calculate the net force acting on each box by summing up all the forces acting on it, taking into account their directions. Forces to the right are considered positive, and forces to the left are considered negative.

Let's solve each problem step by step:

---

Problem 1:

- Forces: \( 4 \, \text{N} \) (left)
- Net Force:
\[
\text{Net Force} = -4 \, \text{N}
\]
Direction: Left

Answer: \( \boxed{-4 \, \text{N} \, (\text{left})} \)

---

Problem 2:

- Forces: \( 7 \, \text{N} \) (left), \( 2 \, \text{N} \) (right)
- Net Force:
\[
\text{Net Force} = -7 \, \text{N} + 2 \, \text{N} = -5 \, \text{N}
\]
Direction: Left

Answer: \( \boxed{-5 \, \text{N} \, (\text{left})} \)

---

Problem 3:

- Forces: \( 4 \, \text{N} \) (right), \( 4 \, \text{N} \) (left)
- Net Force:
\[
\text{Net Force} = 4 \, \text{N} + (-4 \, \text{N}) = 0 \, \text{N}
\]
Direction: None (balanced)

Answer: \( \boxed{0 \, \text{N}} \)

---

Problem 4:

- Forces: \( 6 \, \text{N} \) (right), \( 3 \, \text{N} \) (right)
- Net Force:
\[
\text{Net Force} = 6 \, \text{N} + 3 \, \text{N} = 9 \, \text{N}
\]
Direction: Right

Answer: \( \boxed{9 \, \text{N} \, (\text{right})} \)

---

Problem 5:

- Forces: \( 8 \, \text{N} \) (left), \( 4 \, \text{N} \) (right)
- Net Force:
\[
\text{Net Force} = -8 \, \text{N} + 4 \, \text{N} = -4 \, \text{N}
\]
Direction: Left

Answer: \( \boxed{-4 \, \text{N} \, (\text{left})} \)

---

Problem 6:

- Forces: \( 4 \, \text{N} \) (right), \( 5 \, \text{N} \) (left)
- Net Force:
\[
\text{Net Force} = 4 \, \text{N} + (-5 \, \text{N}) = -1 \, \text{N}
\]
Direction: Left

Answer: \( \boxed{-1 \, \text{N} \, (\text{left})} \)

---

Problem 7:

- Forces: \( 3 \, \text{N} \) (left), \( 3 \, \text{N} \) (left)
- Net Force:
\[
\text{Net Force} = -3 \, \text{N} + (-3 \, \text{N}) = -6 \, \text{N}
\]
Direction: Left

Answer: \( \boxed{-6 \, \text{N} \, (\text{left})} \)

---

Problem 8:

- Forces: \( 2 \, \text{N} \) (right), \( 4 \, \text{N} \) (right), \( 5 \, \text{N} \) (left)
- Net Force:
\[
\text{Net Force} = 2 \, \text{N} + 4 \, \text{N} + (-5 \, \text{N}) = 1 \, \text{N}
\]
Direction: Right

Answer: \( \boxed{1 \, \text{N} \, (\text{right})} \)

---

Problem 9:

- Forces: \( 6 \, \text{N} \) (left), \( 3 \, \text{N} \) (right)
- Net Force:
\[
\text{Net Force} = -6 \, \text{N} + 3 \, \text{N} = -3 \, \text{N}
\]
Direction: Left

Answer: \( \boxed{-3 \, \text{N} \, (\text{left})} \)

---

Problem 10:

- Forces: \( 7 \, \text{N} \) (left), \( 4 \, \text{N} \) (right), \( 4 \, \text{N} \) (right)
- Net Force:
\[
\text{Net Force} = -7 \, \text{N} + 4 \, \text{N} + 4 \, \text{N} = 1 \, \text{N}
\]
Direction: Right

Answer: \( \boxed{1 \, \text{N} \, (\text{right})} \)

---

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. \( \boxed{1 \, \text{N} \, (\text{right})} \)

Boxed Final Answer:
\[
\boxed{
\begin{array}{ll}
1. & -4 \, \text{N} \, (\text{left}) \\
2. & -5 \, \text{N} \, (\text{left}) \\
3. & 0 \, \text{N} \\
4. & 9 \, \text{N} \, (\text{right}) \\
5. & -4 \, \text{N} \, (\text{left}) \\
6. & -1 \, \text{N} \, (\text{left}) \\
7. & -6 \, \text{N} \, (\text{left}) \\
8. & 1 \, \text{N} \, (\text{right}) \\
9. & -3 \, \text{N} \, (\text{left}) \\
10. & 1 \, \text{N} \, (\text{right})
\end{array}
}
\]