1. Find The Net Force on These
F = 6 N, Right
F = 80 N, Down

2. Find The Net Force on These
F = 1070 N, Uphill
F = 103 N, Downhill

3. NOW Find The Net Force on This

4. NOW Find The Net Force on This
(120 N)2 + (200 N)2 = (ΣF)2 F
233.2 N = ΣF
120 N
θ = ?
θ = 31º
200 N
Recall: Tip-to-Tail addition of vectors

5. NOW Find The Net Force on This
Start by simplifying this into a single East-West vector and a single North-South Vector

6. NOW Find The Net Force on This
Start by simplifying this into a single East-West vector and a single North-South Vector

7. NOW Find The Net Force on This
Start by simplifying this into a single East-West vector and a single North-South Vector

8. NOW Find The Net Force on This
Now add these “tip-to-tail”

9. NOW Find The Net Force on This
θ = 35.5º N of E
100 N
140 N
Now add these “tip-to-tail”

10. Try Ch 5 - page 142 # 89
89.

11. How could we Find The Net Force on This?

12. 120 N
60
Let’s try to make this look like previous net force Question
75
70 N

13. 120 N
Consider that this 120 N force is pulling partially East and partially North
60
Consider that this 200 N force is pulling partially West and partially South
75
70 N

14. 104 N
60 N
18 N
68 N

15. Now we can treat this like the previous example where we found ONE simplified east-west vector and ONE north-south vector.
55 N
36 N
104 N
41° N of E
42 N
18 N
60 N
68 N

17. Find x and y components for each vector at an angle.
Calculate “net X” (Fx)
Calculate “net Y” (Fy)
Add net X and net Y tip-to-tail
Pythagorean Theorem
Find  using inverse Tan, Sin or Cos

18. A 25 N force is applied to a box at 30 while a 50 N force acts on the box at 140. Find the net force on the box.
50 N
25 N

19. A 25 N force is applied to a box at 30 while a 50 N force acts on the box at 140. Find the net force on the box.
50 N
25 N

20. A 25 N force is applied to a box at 30 while a 50 N force acts on the box at 140. Find the net force on the box.
50 N
25 N
40°
30°

21. Find x and y components for each vector at an angle.
Calculate “net X” (Fx)
Calculate “net Y” (Fy)
Add net X and net Y tip-to-tail
Pythagorean Theorem
Find  using inverse Tan, Sin or Cos

22. A 25 N force is applied to a box at 30 while a 50 N force acts on the box at 140. Find the net force on the box.
32.1 N
12.5 N
38.3 N
21.7 N

23. A 25 N force is applied to a box at 30 while a 50 N force acts on the box at 140. Find the net force on the box.
32.1 N
12.5 N
38.3 N
21.7 N

24. Find x and y components for each vector at an angle.
Calculate “net X” (Fx)
Calculate “net Y” (Fy)
Add net X and net Y tip-to-tail
Pythagorean Theorem
Find  using inverse Tan, Sin or Cos

25. A 25 N force is applied to a box at 30 while a 50 N force acts on the box at 140. Find the net force on the box.
38.3 N
21.7 N

26. A 25 N force is applied to a box at 30 while a 50 N force acts on the box at 140. Find the net force on the box.
38.3 N
21.7 N

27. A 25 N force is applied to a box at 30 while a 50 N force acts on the box at 140. Find the net force on the box.
16.6 N

28. Find x and y components for each vector at an angle.
Calculate “net X” (Fx)
Calculate “net Y” (Fy)
Add net X and net Y tip-to-tail
Pythagorean Theorem
Find  using inverse Tan, Sin or Cos

29. A 25 N force is applied to a box at 30 while a 50 N force acts on the box at 140. Find the net force on the box.
32.1 N
12.5 N

30. A 25 N force is applied to a box at 30 while a 50 N force acts on the box at 140. Find the net force on the box.
12.5 N
32.1 N

31. A 25 N force is applied to a box at 30 while a 50 N force acts on the box at 140. Find the net force on the box.
44.6 N

32. A 25 N force is applied to a box at 30 while a 50 N force acts on the box at 140. Find the net force on the box.
44.6 N
16.6 N

33. Find x and y components for each vector at an angle.
Calculate “net X” (Fx)
Calculate “net Y” (Fy)
Add net X and net Y tip-to-tail
Pythagorean Theorem
Find  using inverse Tan, Sin or Cos

34. A 25 N force is applied to a box at 30 while a 50 N force acts on the box at 140. Find the net force on the box.
44.6 N
16.6 N

35. Find x and y components for each vector at an angle.
Calculate “net X” (Fx)
Calculate “net Y” (Fy)
Add net X and net Y tip-to-tail
Pythagorean Theorem
Find  using inverse Tan, Sin or Cos

36. F = ____ @ ____ 47.6 N 69.6 N of W 44.6 N 16.6 N
A 25 N force is applied to a box at 30 while a 50 N force acts on the box at 140. Find the net force on the box.
F = ____ @ ____
47.6 N
44.6 N
69.6
N of W
16.6 N

37. Find x and y components for each vector at an angle.
Calculate “net X” (Fx)
Calculate “net Y” (Fy)
Add net X and net Y tip-to-tail
Pythagorean Theorem
Find  using inverse Tan, Sin or Cos

39. Find x and y components for each vector at an angle.
Calculate “net X” (Fx)
Calculate “net Y” (Fy)
Add net X and net Y tip-to-tail
Pythagorean Theorem
Find  using inverse Tan, Sin or Cos