Physics - 1.4 Vectors Algebraic...
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Physics 1.4 Vectors_Algebraic Combination.notebook Dr. Taylor's Physics Class 1 201415 Do Now: Graph the polygon: 1 (7, 5) 2 (7, 3) 3 (2, 3) 4 (5, 3) 5 (5, 5) 6 (2, 1) Describe (name) the shape:
Transcript of Physics - 1.4 Vectors Algebraic...
Physics 1.4 Vectors_Algebraic Combination.notebook
Dr. Taylor's Physics Class 1
201415
Do Now:Graph the polygon:
1 (7, 5)
2 (7, 3)
3 (2, 3)
4 (5, 3)
5 (5, 5)
6 (2, 1)
Describe (name) the shape:
Physics 1.4 Vectors_Algebraic Combination.notebook
Dr. Taylor's Physics Class 2
201415
Do Now:Graph the polygon:
1 (7, 5)
2 (7, 3)
3 (2, 3)
4 (5, 3)
5 (5, 5)
6 (2, 1)
Describe (name) the shape:
Lets Plot Some Points
Physics 1.4 Vectors_Algebraic Combination.notebook
Dr. Taylor's Physics Class 3
201415
Do Now:Graph the polygon:
1 (7, 5)
2 (7, 3)
3 (2, 3)
4 (5, 3)
5 (5, 5)
6 (2, 1)
Describe (name) the shape:
Physics 1.4 Vectors_Algebraic Combination.notebook
Dr. Taylor's Physics Class 4
201415
Do Now:Graph the polygon:
1 (7, 5)
2 (7, 3)
3 (2, 3)
4 (5, 3)
5 (5, 5)
6 (2, 1)
Describe (name) the shape:
Physics 1.4 Vectors_Algebraic Combination.notebook
Dr. Taylor's Physics Class 5
201415
Do Now:Graph the polygon:
1 (7, 5)
2 (7, 3)
3 (2, 3)
4 (5, 3)
5 (5, 5)
6 (2, 1)
Describe (name) the shape:
Physics 1.4 Vectors_Algebraic Combination.notebook
Dr. Taylor's Physics Class 6
201415
Do Now:Graph the polygon:
1 (7, 5)
2 (7, 3)
3 (2, 3)
4 (5, 3)
5 (5, 5)
6 (2, 1)
Describe (name) the shape:
Physics 1.4 Vectors_Algebraic Combination.notebook
Dr. Taylor's Physics Class 7
201415
Do Now:Graph the polygon:
1 (7, 5)
2 (7, 3)
3 (2, 3)
4 (5, 3)
5 (5, 5)
6 (2, 1)
Describe (name) the shape:
Physics 1.4 Vectors_Algebraic Combination.notebook
Dr. Taylor's Physics Class 8
201415
Do Now:Graph the polygon:
1 (7, 5)
2 (7, 3)
3 (2, 3)
4 (5, 3)
5 (5, 5)
6 (2, 1)
Describe (name) the shape:
Physics 1.4 Vectors_Algebraic Combination.notebook
Dr. Taylor's Physics Class 9
201415
Do Now:Graph the polygon:
1 (7, 5)
2 (7, 3)
3 (2, 3)
4 (5, 3)
5 (5, 5)
6 (2, 1)
Describe (name) the shape:
Connects the Dots In order Plotted
Physics 1.4 Vectors_Algebraic Combination.notebook
Dr. Taylor's Physics Class 10
201415
Do Now:Graph the polygon:
1 (7, 5)
2 (7, 3)
3 (2, 3)
4 (5, 3)
5 (5, 5)
6 (2, 1)
Describe (name) the shape:
Connects the Dots In order Plotted
Physics 1.4 Vectors_Algebraic Combination.notebook
Dr. Taylor's Physics Class 11
201415
Do Now:Graph the polygon:
1 (7, 5)
2 (7, 3)
3 (2, 3)
4 (5, 3)
5 (5, 5)
6 (2, 1)
Describe (name) the shape:
Connects the Dots In order Plotted
Physics 1.4 Vectors_Algebraic Combination.notebook
Dr. Taylor's Physics Class 12
201415
Do Now:Graph the polygon:
1 (7, 5)
2 (7, 3)
3 (2, 3)
4 (5, 3)
5 (5, 5)
6 (2, 1)
Describe (name) the shape:
Connects the Dots In order Plotted
Physics 1.4 Vectors_Algebraic Combination.notebook
Dr. Taylor's Physics Class 13
201415
Do Now:Graph the polygon:
1 (7, 5)
2 (7, 3)
3 (2, 3)
4 (5, 3)
5 (5, 5)
6 (2, 1)
Describe (name) the shape:
Connects the Dots In order Plotted
Physics 1.4 Vectors_Algebraic Combination.notebook
Dr. Taylor's Physics Class 14
201415
Do Now:Graph the polygon:
1 (7, 5)
2 (7, 3)
3 (2, 3)
4 (5, 3)
5 (5, 5)
6 (2, 1)
Describe (name) the shape:
Connects the Dots In order Plotted
Physics 1.4 Vectors_Algebraic Combination.notebook
Dr. Taylor's Physics Class 15
201415
Do Now:Graph the polygon:
1 (7, 5)
2 (7, 3)
3 (2, 3)
4 (5, 3)
5 (5, 5)
6 (2, 1)
Describe (name) the shape:
Connects the Dots In order Plotted
Physics 1.4 Vectors_Algebraic Combination.notebook
Dr. Taylor's Physics Class 16
201415
Do Now:Graph the polygon:
1 (7, 5)
2 (7, 3)
3 (2, 3)
4 (5, 3)
5 (5, 5)
6 (2, 1)
Describe (name) the shape: HEXAGON Chevron
Physics 1.4 Vectors_Algebraic Combination.notebook
Dr. Taylor's Physics Class 17
201415
VectorsAlgebraic
Combination
Physics 1.4 Vectors_Algebraic Combination.notebook
Dr. Taylor's Physics Class 18
201415
Problem 1:Combining Vector Components
Physics 1.4 Vectors_Algebraic Combination.notebook
Dr. Taylor's Physics Class 19
201415
A = < , >B = < , >R = < , >
+
q = tan ( ) = tan ( ) = _________
r = xr2 + yr2 = ( ) + ( ) = ________
1 1yrxr
R = (r, q) = ( , o)
Polar Conversion:
Calculate and express the Resultant Vector as Vector Coordinates... then convert to magnitude and direction (polar form) below:
Vector A = 8/ 30o /x = Bcosq
x = ( )cos( )
x = ( )(0. )
x =
y = Bsinq
y = ( )sin( )
y = ( )(0. )
y =
Vector B = 10/ 135o /x = Acosq
x = ( )cos( )
x = ( )(0. )
x =
y = Asinq
y = ( )sin( )
y = ( )(0. )
y =
Physics 1.4 Vectors_Algebraic Combination.notebook
Dr. Taylor's Physics Class 20
201415
A = < , >B = < , >R = < , >
+
q = tan ( ) = tan ( ) = _________
r = xr2 + yr2 = ( ) + ( ) = ________
1 1yrxr
R = (r, q) = ( , o)
Polar Conversion:
Calculate and express the Resultant Vector as Vector Coordinates... then convert to magnitude and direction (polar form) below:
Vector A = 8/ 30o /x = Bcosq
x = ( )cos( )
x = ( )(0. )
x =
y = Bsinq
y = ( )sin( )
y = ( )(0. )
y =
Vector B = 10/ 135o /x = Acosq
x = ( )cos( )
x = ( )(0. )
x =
y = Asinq
y = ( )sin( )
y = ( )(0. )
y =
Physics 1.4 Vectors_Algebraic Combination.notebook
Dr. Taylor's Physics Class 21
201415
Problem 2:Combining Vector Components
Physics 1.4 Vectors_Algebraic Combination.notebook
Dr. Taylor's Physics Class 22
201415
C = < , >D = < , >R = < , >
+
q = tan ( ) = tan ( ) = _________
r = xr2 + yr2 = ( ) + ( ) = ________
1 1yrxr
R = (r, q) = ( , o)
Polar Conversion:
Calculate and express the Resultant Vector as Vector Coordinates... then convert to magnitude and direction (polar form) below:
Vector C = 5/150o /x = Dcosq
x = ( )cos( )
x = ( )(0. )
x =
y = Dsinq
y = ( )sin( )
y = ( )(0. )
y =
Vector D = 7/135o /x = Ccosq
x = ( )cos( )
x = ( )(0. )
x =
y = Csinq
y = ( )sin( )
y = ( )(0. )
y =
Physics 1.4 Vectors_Algebraic Combination.notebook
Dr. Taylor's Physics Class 23
201415
C = < , >D = < , >R = < , >
+
q = tan ( ) = tan ( ) = _________
r = xr2 + yr2 = ( ) + ( ) = ________
1 1yrxr
R = (r, q) = ( , o)
Polar Conversion:
Calculate and express the Resultant Vector as Vector Coordinates... then convert to magnitude and direction (polar form) below:
Vector C = 5/150o /x = Dcosq
x = ( )cos( )
x = ( )(0. )
x =
y = Dsinq
y = ( )sin( )
y = ( )(0. )
y =
Vector D = 7/135o /x = Ccosq
x = ( )cos( )
x = ( )(0. )
x =
y = Csinq
y = ( )sin( )
y = ( )(0. )
y =
Physics 1.4 Vectors_Algebraic Combination.notebook
Dr. Taylor's Physics Class 24
201415
Problem 3:Combining Vector Components
Physics 1.4 Vectors_Algebraic Combination.notebook
Dr. Taylor's Physics Class 25
201415
E = < , >F = < , >R = < , >
+
q = tan ( ) = tan ( ) = _________
r = xr2 + yr2 = ( ) + ( ) = ________
1 1yrxr
R = (r, q) = ( , o)
Polar Conversion:
Calculate and express the Resultant Vector as Vector Coordinates... then convert to magnitude and direction (polar form) below:
Vector E = 10/315o
x = Fcosq
x = ( )cos( )
x = ( )(0. )
x =
y = Fsinq
y = ( )sin( )
y = ( )(0. )
y =
Vector F = 5/ 225o /x = Ecosq
x = ( )cos( )
x = ( )(0. )
x =
y = Esinq
y = ( )sin( )
y = ( )(0. )
y =
/
Physics 1.4 Vectors_Algebraic Combination.notebook
Dr. Taylor's Physics Class 26
201415
E = < , >F = < , >R = < , >
+
q = tan ( ) = tan ( ) = _________
r = xr2 + yr2 = ( ) + ( ) = ________
1 1yrxr
R = (r, q) = ( , o)
Polar Conversion:
Calculate and express the Resultant Vector as Vector Coordinates... then convert to magnitude and direction (polar form) below:
Vector E = 10/315o
x = Fcosq
x = ( )cos( )
x = ( )(0. )
x =
y = Fsinq
y = ( )sin( )
y = ( )(0. )
y =
Vector F = 5/ 225o /x = Ecosq
x = ( )cos( )
x = ( )(0. )
x =
y = Esinq
y = ( )sin( )
y = ( )(0. )
y =
/
Physics 1.4 Vectors_Algebraic Combination.notebook
Dr. Taylor's Physics Class 27
201415
Problem 4:Combining Vector Components
Physics 1.4 Vectors_Algebraic Combination.notebook
Dr. Taylor's Physics Class 28
201415
G = < , >H = < , >R = < , >
+
q = tan ( ) = tan ( ) = _________
r = xr2 + yr2 = ( ) + ( ) = ________
1 1yrxr
R = (r, q) = ( , o)
Polar Conversion:
Calculate and express the Resultant Vector as Vector Coordinates... then convert to magnitude and direction (polar form) below:
Vector G = 2/ 235o
x = Hcosq
x = ( )cos( )
x = ( )(0. )
x =
y = Hsinq
y = ( )sin( )
y = ( )(0. )
y =
Vector H = 12/ 135o /x = Gcosq
x = ( )cos( )
x = ( )(0. )
x =
y = Gsinq
y = ( )sin( )
y = ( )(0. )
y =
/
Physics 1.4 Vectors_Algebraic Combination.notebook
Dr. Taylor's Physics Class 29
201415
G = < , >H = < , >R = < , >
+
q = tan ( ) = tan ( ) = _________
r = xr2 + yr2 = ( ) + ( ) = ________
1 1yrxr
R = (r, q) = ( , o)
Polar Conversion:
Calculate and express the Resultant Vector as Vector Coordinates... then convert to magnitude and direction (polar form) below:
Vector G = 2/ 235o
x = Hcosq
x = ( )cos( )
x = ( )(0. )
x =
y = Hsinq
y = ( )sin( )
y = ( )(0. )
y =
Vector H = 12/ 135o /x = Gcosq
x = ( )cos( )
x = ( )(0. )
x =
y = Gsinq
y = ( )sin( )
y = ( )(0. )
y =
/
Physics 1.4 Vectors_Algebraic Combination.notebook
Dr. Taylor's Physics Class 30
201415
Problem 5:Combining Vector Components
Physics 1.4 Vectors_Algebraic Combination.notebook
Dr. Taylor's Physics Class 31
201415
L = < , >M = < , >R = < , >
+
q = tan ( ) = tan ( ) = _________
r = xr2 + yr2 = ( ) + ( ) = ________
1 1yrxr
R = (r, q) = ( , o)
Polar Conversion:
Calculate and express the Resultant Vector as Vector Coordinates... then convert to magnitude and direction (polar form) below:
Vector L = 4/300o
x = Mcosq
x = ( )cos( )
x = ( )(0. )
x =
y = Msinq
y = ( )sin( )
y = ( )(0. )
y =
Vector M = 8/ 335o /x = Lcosq
x = ( )cos( )
x = ( )(0. )
x =
y = Lsinq
y = ( )sin( )
y = ( )(0. )
y =
/
Physics 1.4 Vectors_Algebraic Combination.notebook
Dr. Taylor's Physics Class 32
201415
L = < , >M = < , >R = < , >
+
q = tan ( ) = tan ( ) = _________
r = xr2 + yr2 = ( ) + ( ) = ________
1 1yrxr
R = (r, q) = ( , o)
Polar Conversion:
Calculate and express the Resultant Vector as Vector Coordinates... then convert to magnitude and direction (polar form) below:
Vector L = 4/300o
x = Mcosq
x = ( )cos( )
x = ( )(0. )
x =
y = Msinq
y = ( )sin( )
y = ( )(0. )
y =
Vector M = 8/ 335o /x = Lcosq
x = ( )cos( )
x = ( )(0. )
x =
y = Lsinq
y = ( )sin( )
y = ( )(0. )
y =
/
Physics 1.4 Vectors_Algebraic Combination.notebook
Dr. Taylor's Physics Class 33
201415
Problem 6:Combining Vector Components
Physics 1.4 Vectors_Algebraic Combination.notebook
Dr. Taylor's Physics Class 34
201415
N = < , >P = < , >R = < , >
+
q = tan ( ) = tan ( ) = _________
r = xr2 + yr2 = ( ) + ( ) = ________
1 1yrxr
R = (r, q) = ( , o)
Polar Conversion:
Calculate and express the Resultant Vector as Vector Coordinates... then convert to magnitude and direction (polar form) below:
Vector N = 9/ 120o
x = Pcosq
x = ( )cos( )
x = ( )(0. )
x =
y = Psinq
y = ( )sin( )
y = ( )(0. )
y =
Vector P = 5/ 135o /x = Ncosq
x = ( )cos( )
x = ( )(0. )
x =
y = Nsinq
y = ( )sin( )
y = ( )(0. )
y =
/
Physics 1.4 Vectors_Algebraic Combination.notebook
Dr. Taylor's Physics Class 35
201415
N = < , >P = < , >R = < , >
+
q = tan ( ) = tan ( ) = _________
r = xr2 + yr2 = ( ) + ( ) = ________
1 1yrxr
R = (r, q) = ( , o)
Polar Conversion:
Calculate and express the Resultant Vector as Vector Coordinates... then convert to magnitude and direction (polar form) below:
Vector N = 9/ 120o
x = Pcosq
x = ( )cos( )
x = ( )(0. )
x =
y = Psinq
y = ( )sin( )
y = ( )(0. )
y =
Vector P = 5/ 135o /x = Ncosq
x = ( )cos( )
x = ( )(0. )
x =
y = Nsinq
y = ( )sin( )
y = ( )(0. )
y =
/
Physics 1.4 Vectors_Algebraic Combination.notebook
Dr. Taylor's Physics Class 36
201415
Problem 7:Combining Vector Components
Physics 1.4 Vectors_Algebraic Combination.notebook
Dr. Taylor's Physics Class 37
201415
Vector X = 4/ 35o
Q = < , >X = < , >R = < , >
+
q = tan ( ) = tan ( ) = _________
r = xr2 + yr2 = ( ) + ( ) = ________
1 1yrxr
R = (r, q) = ( , o)
Polar Conversion:
Calculate and express the Resultant Vector as Vector Coordinates... then convert to magnitude and direction (polar form) below:
Vector Q = 8/ 30o /x = Xcosq
x = ( )cos( )
x = ( )(0. )
x =
y = Xsinq
y = ( )sin( )
y = ( )(0. )
y =
/x = Qcosq
x = ( )cos( )
x = ( )(0. )
x =
y = Qsinq
y = ( )sin( )
y = ( )(0. )
y =
Physics 1.4 Vectors_Algebraic Combination.notebook
Dr. Taylor's Physics Class 38
201415
Vector X = 4/ 35o
Q = < , >X = < , >R = < , >
+
q = tan ( ) = tan ( ) = _________
r = xr2 + yr2 = ( ) + ( ) = ________
1 1yrxr
R = (r, q) = ( , o)
Polar Conversion:
Calculate and express the Resultant Vector as Vector Coordinates... then convert to magnitude and direction (polar form) below:
Vector Q = 8/ 30o /x = Xcosq
x = ( )cos( )
x = ( )(0. )
x =
y = Xsinq
y = ( )sin( )
y = ( )(0. )
y =
/x = Qcosq
x = ( )cos( )
x = ( )(0. )
x =
y = Qsinq
y = ( )sin( )
y = ( )(0. )
y =
Physics 1.4 Vectors_Algebraic Combination.notebook
Dr. Taylor's Physics Class 39
201415
Problem 8:Combining Vector Components
Physics 1.4 Vectors_Algebraic Combination.notebook
Dr. Taylor's Physics Class 40
201415
S = < , >T = < , >R = < , >
+
q = tan ( ) = tan ( ) = _________
r = xr2 + yr2 = ( ) + ( ) = ________
1 1yrxr
R = (r, q) = ( , o)
Polar Conversion:
Calculate and express the Resultant Vector as Vector Coordinates... then convert to magnitude and direction (polar form) below:
Vector S = 7/240o
x = Tcosq
x = ( )cos( )
x = ( )(0. )
x =
y = Tsinq
y = ( )sin( )
y = ( )(0. )
y =
Vector T = 7/ 240o /x = Scosq
x = ( )cos( )
x = ( )(0. )
x =
y = Ssinq
y = ( )sin( )
y = ( )(0. )
y =
/
Physics 1.4 Vectors_Algebraic Combination.notebook
Dr. Taylor's Physics Class 41
201415
S = < , >T = < , >R = < , >
+
q = tan ( ) = tan ( ) = _________
r = xr2 + yr2 = ( ) + ( ) = ________
1 1yrxr
R = (r, q) = ( , o)
Polar Conversion:
Calculate and express the Resultant Vector as Vector Coordinates... then convert to magnitude and direction (polar form) below:
Vector S = 7/240o
x = Tcosq
x = ( )cos( )
x = ( )(0. )
x =
y = Tsinq
y = ( )sin( )
y = ( )(0. )
y =
Vector T = 7/ 240o /x = Scosq
x = ( )cos( )
x = ( )(0. )
x =
y = Ssinq
y = ( )sin( )
y = ( )(0. )
y =
/
Physics 1.4 Vectors_Algebraic Combination.notebook
Dr. Taylor's Physics Class 42
201415
Problem 9:Combining Vector Components
Physics 1.4 Vectors_Algebraic Combination.notebook
Dr. Taylor's Physics Class 43
201415
U = < , >V = < , >R = < , >
+
q = tan ( ) = tan ( ) = _________
r = xr2 + yr2 = ( ) + ( ) = ________
1 1yrxr
R = (r, q) = ( , o)
Polar Conversion:
Calculate and express the Resultant Vector as Vector Coordinates... then convert to magnitude and direction (polar form) below:
Vector U = 3/ 75o /x = Vcosq
x = ( )cos( )
x = ( )(0. )
x =
y = Vsinq
y = ( )sin( )
y = ( )(0. )
y =
Vector V = 9/ 215o /x = Ucosq
x = ( )cos( )
x = ( )(0. )
x =
y = Usinq
y = ( )sin( )
y = ( )(0. )
y =
Physics 1.4 Vectors_Algebraic Combination.notebook
Dr. Taylor's Physics Class 44
201415
U = < , >V = < , >R = < , >
+
q = tan ( ) = tan ( ) = _________
r = xr2 + yr2 = ( ) + ( ) = ________
1 1yrxr
R = (r, q) = ( , o)
Polar Conversion:
Calculate and express the Resultant Vector as Vector Coordinates... then convert to magnitude and direction (polar form) below:
Vector U = 3/ 75o /x = Vcosq
x = ( )cos( )
x = ( )(0. )
x =
y = Vsinq
y = ( )sin( )
y = ( )(0. )
y =
Vector V = 9/ 215o /x = Ucosq
x = ( )cos( )
x = ( )(0. )
x =
y = Usinq
y = ( )sin( )
y = ( )(0. )
y =
Physics 1.4 Vectors_Algebraic Combination.notebook
Dr. Taylor's Physics Class 45
201415
Problem 10:Combining Vector Components
Physics 1.4 Vectors_Algebraic Combination.notebook
Dr. Taylor's Physics Class 46
201415
W = < , >Z = < , >R = < , >
+
q = tan ( ) = tan ( ) = _________
r = xr2 + yr2 = ( ) + ( ) = ________
1 1yrxr
R = (r, q) = ( , o)
Polar Conversion:
Calculate and express the Resultant Vector as Vector Coordinates... then convert to magnitude and direction (polar form) below:
Vector W = 10/ 300o
x = Zcosq
x = ( )cos( )
x = ( )(0. )
x =
y = Zsinq
y = ( )sin( )
y = ( )(0. )
y =
Vector Z = 10/ 135o /x = Wcosq
x = ( )cos( )
x = ( )(0. )
x =
y = Wsinq
y = ( )sin( )
y = ( )(0. )
y =
/
Physics 1.4 Vectors_Algebraic Combination.notebook
Dr. Taylor's Physics Class 47
201415
W = < , >Z = < , >R = < , >
+
q = tan ( ) = tan ( ) = _________
r = xr2 + yr2 = ( ) + ( ) = ________
1 1yrxr
R = (r, q) = ( , o)
Polar Conversion:
Calculate and express the Resultant Vector as Vector Coordinates... then convert to magnitude and direction (polar form) below:
Vector W = 10/ 300o
x = Zcosq
x = ( )cos( )
x = ( )(0. )
x =
y = Zsinq
y = ( )sin( )
y = ( )(0. )
y =
Vector Z = 10/ 135o /x = Wcosq
x = ( )cos( )
x = ( )(0. )
x =
y = Wsinq
y = ( )sin( )
y = ( )(0. )
y =
/
Physics 1.4 Vectors_Algebraic Combination.notebook
Dr. Taylor's Physics Class 48
201415
END
![Updated to 2019-21 Syllabus CIE A2-LEVEL PHYSICS 9702 · CIE A2 -LEVEL PHYSICS//9702 1.4 Safety Considerations PAGE 1 OF 3 1. PLANNING 1.1 Defining the Problem [3] Identify: o the](https://static.fdocuments.net/doc/165x107/607ef5e7d07a966ef427284d/updated-to-2019-21-syllabus-cie-a2-level-physics-9702-cie-a2-level-physics9702.jpg)
