LC: Rewrite a vector in a component form. Calculate directions and magnitudes of vectors Evaluate the problem below. Show your complete solutions. Liza walks 12 m N, then turns 5 m to west, then moved 6 m 30°NW, then moved 4 m S, and lastly moved 5m 80°SW. Find the resultant displacement made by Liza. STEP 1: Draw your Vector Diagram VR = {(x)2 + (Σy)2 STEP 2: Find the Component Vector V₁ = 12m 90° 180° STEP 3: Find the magnitude of the Resultant Vector Vector V₂ = 5m V³ = 6m 150⁰ |√4=4m 270° |w| V s=5m 260⁰ Summation X 0 = tan Component -5.20 O -0.87 -11-07 Component 12 O 3 STEP 4: Find the direction of the Resultant ΣΧ -4 -4.92 6.08

College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
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LC:
Rewrite a vector in a component form.
Calculate directions and magnitudes of vectors
Evaluate the problem below. Show your complete solutions.
Liza walks 12 m N, then turns 5 m to west, then moved 6 m 30°NW, then moved 4 m S, and lastly
moved 5m 80°SW. Find the resultant displacement made by Liza.
STEP 1: Draw your Vector Diagram
STEP 3: Find the magnitude of the Resultant Vector
Vector
VR= (Σχ)2 + (Σy)2
STEP 5: Write your Final Answer
STEP 2: Find the Component
Vector
V₁ =12m 90°
√₂ = 5m 180°
V³ = 6m 150°
√/4 = 4m 270°
tw| Vs=5m 260⁰
Summation
X
0 = tan
Component
-5
-5.20
-0.87
-11.07
Y
Component
12
3
-4
-4.92
6.08
STEP 4: Find the direction of the Resultant
1
1 | ΣΥ
ΣΧ
Transcribed Image Text:LC: Rewrite a vector in a component form. Calculate directions and magnitudes of vectors Evaluate the problem below. Show your complete solutions. Liza walks 12 m N, then turns 5 m to west, then moved 6 m 30°NW, then moved 4 m S, and lastly moved 5m 80°SW. Find the resultant displacement made by Liza. STEP 1: Draw your Vector Diagram STEP 3: Find the magnitude of the Resultant Vector Vector VR= (Σχ)2 + (Σy)2 STEP 5: Write your Final Answer STEP 2: Find the Component Vector V₁ =12m 90° √₂ = 5m 180° V³ = 6m 150° √/4 = 4m 270° tw| Vs=5m 260⁰ Summation X 0 = tan Component -5 -5.20 -0.87 -11.07 Y Component 12 3 -4 -4.92 6.08 STEP 4: Find the direction of the Resultant 1 1 | ΣΥ ΣΧ
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