1. NOTES: 8–5 Applications of Vectors
Force has magnitude and direction
(the length and angle of a vector)
Force is often measured in Newtons
(1 pound ≈ 4.45 N)
This tip-to-tail drawing is useful for solving magnitude and direction.
swimmer
river current
river current
swimmer
Resultant vector 1

2. NOTES: 8–5 Applications of Vectors
A parallelogram can also help find the resultant vector.
(similar to a tip-to-tail drawing) 2

3. Be sure to draw a tip-to-tail diagram!!
p.516 #4 (sketch only)
Make a sketch to show the forces acting on a ship traveling at 23 knots at an angle of 17° with the current.
Be sure to draw a tip-to-tail diagram!!

4. Try to draw the information to scale.#5
Find the magnitude and direction of the resultant vector.
Be sure to redraw it as a tip-to-tail diagram (or form a parallelogram and find the diagonal)
Given:
55°
300 N
170 N
55°
300 N
170 N
Try to draw the information to scale.

5. #5 continued…
tip
55°
300 N
170 N
resultant vector
tail

6. #6
A 100N force and 50N force act on the same object and the angle between the forces is 90°. Find the magnitude of the resultant force and the angle between the resultant force and the 50N force. 50
100

7. #7
Denzel pulls a wagon along level ground with a force of 18N on the handle. If the handle makes an angle of 40° with the horizontal, find the horizontal and vertical components of the force.
40°
18N