Chapter 3 Vectors Worksheets 1. A. q
Chapter 3 Vectors Worksheets 1. Find the X and Y components of the following: A. 35 m/s at 57q from the x-axis.
B. 12 m/s at 34q S of W
C. 8 m/s South
D. 20 m/s 275q from the x-axis
[X: 19.1 m/s Y: 29.4 m/s] [X: -10 m/s Y: -6.7 m/s] [X: 0 m/s Y: -8 m/s] [X: 1.75 m/s Y: -20 m/s]
2. Find the resultant vector (mag and dir) given the following information: A. Ax = 5.7, Ay = 3.4
B. Bx = -10, By = -3
[||A|| = 6.6, = 30.8? from x-axis]
C. Cx = 12, Cy = -20 D. -30i + 27j
[||B|| = 10.4, = 196.7? from x-axis] [||C|| = 23.3, = 300? from x-axis]
E. 48i ? 12 j
[||D|| = 40.4, = 138? from x-axis]
[||E|| = 49.5, = 346? from x-axis]
3. What are Superman's x and y components?
[x = 86.6 m, y = -50 m]
5. What are the x and y components of the plane's velocity?
40 m/s
[vX = 38.6 m/s vY = 10.4 m/s]
6. How fast is the plane traveling? What is the angle T?
120 m/s
80 m/s
7. How high above the person's head is the roof? The antenna?
35? 85 m
38? 85 m
[v = 144 m/s T = 33.7q]
8. If the force on the fishing line has an x-component equal to 50, what is the force on the line?
50 ?
[roof: 59.5 m, antenna: 66.4 m]
[100]
Observe the following vectors:
A = 15
28q D = 50
A. Construct an X-Y chart for all vectors: X
A B C D
60q B = 10
C = 25
Y
B. Find the resultant (mag and dir)of the following:
A + B + C + D
A - C
D + 2C
||R|| = 29 = 157? from x
(23? N of W)
||R|| = 38.7 = 78.8? from x
(78.8? N of E)
||R|| = 51.4 = 211? from x
(31? S of W)
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