Let's solve each of these problems step by step. The goal is to find the
net force acting on each object, which is the
vector sum of all forces acting on it.
We will:
- Add all forces pointing in one direction (e.g., right).
- Subtract all forces pointing in the opposite direction (e.g., left).
- Determine the magnitude and direction of the net force.
We'll use:
- Right as
positive (+)
- Left as
negative (–)
---
1.
Forces:
- Right: 100 N
- Left: 50 N + 75 N = 125 N
Net Force = 100 N – 125 N =
–25 N
So,
25 N to the left
✔ Answer: Net Force =
25 N ←
---
2.
Forces:
- Right: 545 N + 732 N = 1277 N
- Left: 732 N + 545 N = 1277 N
Net Force = 1277 N – 1277 N =
0 N
✔ Answer: Net Force =
0 N (no direction)
---
3.
Forces:
- Right: 61 N + 192 N = 253 N
- Left: 61 N
Net Force = 253 N – 61 N =
192 N to the right
✔ Answer: Net Force =
192 N →
---
4.
Forces:
- Right: 1231 N + 562 N = 1793 N
- Left: 489 N + 956 N = 1445 N
Net Force = 1793 N – 1445 N =
348 N to the right
✔ Answer: Net Force =
348 N →
---
5.
Forces:
- Right: 653 N + 352 N = 1005 N
- Left: 1000 N
Net Force = 1005 N – 1000 N =
5 N to the right
✔ Answer: Net Force =
5 N →
---
6.
Only one force shown:
8732 N →
No opposing force.
Net Force =
8732 N to the right
✔ Answer: Net Force =
8732 N →
---
7.
Forces:
- Right: 577 N
- Left: 2957 N
Net Force = 577 N – 2957 N =
–2380 N →
2380 N to the left
✔ Answer: Net Force =
2380 N ←
---
8.
Forces:
- Right: 83 N
- Left: 96 N
Net Force = 83 N – 96 N =
–13 N →
13 N to the left
✔ Answer: Net Force =
13 N ←
---
✔ Final Answers:
| Problem | Net Force |
|--------|-----------|
| 1 | 25 N ← |
| 2 | 0 N |
| 3 | 192 N → |
| 4 | 348 N → |
| 5 | 5 N → |
| 6 | 8732 N → |
| 7 | 2380 N ← |
| 8 | 13 N ← |
You can now fill these into the worksheet accordingly. Each answer should include both magnitude and direction (using arrows).
Parent Tip: Review the logic above to help your child master the concept of net force worksheet with answers.
