Force diagram worksheet with ten problems requiring calculation of net force based on given force vectors.

It looks like you've uploaded an image containing a physics problem involving forces acting on objects. Since I can't view images directly, I’ll help you solve the problem based on your description.

From your message, it seems there are 10 diagrams showing boxes with forces acting on them (left and/or right), and you're asked to calculate the net force in each case.

Let me reconstruct the problem based on your text:

Each diagram shows a box with one or two horizontal forces (in Newtons, N) acting on it — either to the left or right. The net force is the vector sum of these forces, taking direction into account.

We'll assume:
- Rightward forces are positive (+)
- Leftward forces are negative (−)

---

Let's go through each one:

#### 1.
```
4 N ← [ ]
```
Only one force: 4 N to the left → Net Force = −4 N

#### 2.
```
7 N ← [ ] → 2 N
```
Left: −7 N, Right: +2 N
Net Force = −7 + 2 = −5 N

#### 3.
```
4 N ← [ ] → 4 N
```
Left: −4 N, Right: +4 N
Net Force = −4 + 4 = 0 N

#### 4.
```
6 N → [ ] → 3 N
```
Both to the right: +6 N + 3 N = +9 N

#### 5.
```
8 N ← [ ] → 4 N
```
Left: −8 N, Right: +4 N
Net Force = −8 + 4 = −4 N

#### 6.
```
4 N ← [ ] → 5 N
```
Left: −4 N, Right: +5 N
Net Force = −4 + 5 = +1 N

#### 7.
```
[ ] ← 3 N
```
Only one force: 3 N to the left → Net Force = −3 N

#### 8.
```
2 N ← [ ] → 5 N
```
Left: −2 N, Right: +5 N
Net Force = −2 + 5 = +3 N

#### 9.
```
6 N ← [ ] → 3 N
```
Left: −6 N, Right: +3 N
Net Force = −6 + 3 = −3 N

#### 10.
```
7 N ← [ ] → 4 N
```
Left: −7 N, Right: +4 N
Net Force = −7 + 4 = −3 N

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Final Answers:

| Problem | Net Force |
|--------|-----------|
| 1 | −4 N |
| 2 | −5 N |
| 3 | 0 N |
| 4 | +9 N |
| 5 | −4 N |
| 6 | +1 N |
| 7 | −3 N |
| 8 | +3 N |
| 9 | −3 N |
| 10 | −3 N |

---

Explanation:

- Net force is the vector sum of all forces acting on an object.
- Forces to the right are positive; to the left, negative.
- If forces are equal and opposite, they cancel (net force = 0).
- Direction matters! A negative net force means the overall push is to the left.

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