Let's solve each problem step by step. The goal is to
calculate the net force acting on an object and determine the direction it will move (if any). Net force is the
vector sum of all forces acting on an object.
---
🔷 Key Concepts:
- Forces in
opposite directions subtract.
- Forces in the
same direction add.
- Use
positive/negative signs or
directions (e.g., East, West, North, South) to represent vectors.
- If net force = 0 → no motion (or constant velocity).
- If net force ≠ 0 → object accelerates in the direction of the net force.
---
##
✔ Problem Solutions:
---
1.
- A pushes: 39N → right
- B pulls: 29N → left
→ Opposite directions
Net Force = 39N – 29N =
10N to the right (East)
>
✔ Net Force = 10N East
---
2.
- A pushes: 24N → right
- B pulls: 65N → left
→ Opposite directions
Net Force = 65N – 24N =
41N to the left (West)
>
✔ Net Force = 41N West
---
3.
- A pushes: 13N → right
- B pulls: 16N → left
→ Opposite directions
Net Force = 16N – 13N =
3N to the left (West)
>
✔ Net Force = 3N West
---
4.
- A pushes: 29N → right
- B pushes: 30N → right
→ Same direction
Net Force = 29N + 30N =
59N to the right (East)
>
✔ Net Force = 59N East
---
5.
- A pulls: 10N → left
- B pulls: 41N → right
→ Opposite directions
Net Force = 41N – 10N =
31N to the right (East)
>
✔ Net Force = 31N East
---
6.
- A pulls: 76N → left
- B pulls: 76N → right
→ Equal and opposite
Net Force = 76N – 76N =
0N
>
✔ Net Force = 0N (No movement)
---
7.
Forces on ball:
- 45N West
- 40N South
- 20N North
- 45N East
Break into components:
#### Horizontal (East-West):
- 45N West vs 45N East → cancel out →
0N horizontal
#### Vertical (North-South):
- 20N North vs 40N South → Net = 40N – 20N =
20N South
>
✔ Net Force = 20N South → Ball rolls
South
---
8.
Forces:
- 12N West
- 10N South
- 10N North
- 9N East
#### Horizontal (East-West):
- 12N West vs 9N East → Net = 12N – 9N =
3N West
#### Vertical (North-South):
- 10N North vs 10N South → cancel →
0N vertical
>
✔ Net Force = 3N West → Ball rolls
West
---
9.
Forces:
- 24N West
- 7N South
- 7N North
- 12N East
#### Horizontal (East-West):
- 24N West vs 12N East → Net = 24N – 12N =
12N West
#### Vertical (North-South):
- 7N North vs 7N South → cancel →
0N vertical
>
✔ Net Force = 12N West → Ball rolls
West
---
10.
Forces:
- 30N West
- 0N South
- 0N North
- 30N East
#### Horizontal:
- 30N West vs 30N East → cancel →
0N horizontal
#### Vertical:
- 0N North & South →
0N vertical
>
✔ Net Force = 0N → No motion (ball stays still)
---
##
✔ Final Answers:
| Problem | Net Force |
|--------|-----------|
| 1 | 10N East |
| 2 | 41N West |
| 3 | 3N West |
| 4 | 59N East |
| 5 | 31N East |
| 6 | 0N |
| 7 | 20N South |
| 8 | 3N West |
| 9 | 12N West |
| 10 | 0N |
---
## 📝 Summary:
-
Net force is the total force after combining all individual forces.
- Always consider
directions.
- When forces are balanced (equal and opposite), net force is zero → no acceleration.
- When unbalanced, object moves in the direction of the net force.
Let me know if you'd like this as a printable worksheet with answers!
Parent Tip: Review the logic above to help your child master the concept of net force worksheet.
