Quiz 5

1. A vector is...

A. a physical quantity that can be expressed as a combination of fundamental physical quantities.
B. an arrow.
C. a physical quantity that has magnitude only.
D. a physical quantity that requires the specification of direction in addition to a number and a unit.
E. a physical quantity that can be specified by a number and a unit completely.

2. The default angle (angle measured with respect to the positive x-axis) for the vector A = 2 m east is

A. -90 deg
B. 180 deg
C. 270 deg
D. 0 deg
E. 90 deg

3. The default angle (angle measured with respect to the positive x-axis) for the vector A = 4 m 20 deg west of north is

A. 20 deg
B. 110 deg
C. 160 deg
D. 70 deg
E. -20 deg

4. Using the scale 1 cm for 40 m ⁄ s, the vector A = 72 m ⁄ s east, can be graphically represented by an arrow of length

A. 3.6 cm
B. 1.8 cm
C. 72 cm
D. 0.9 cm
E. 0.556 cm

5. If the vector A = 100 m ⁄ s 25 deg east of south, using the scale 1 cm for 30 m ⁄ s, the vector 1.5A can be graphically represented by an arrow of length _________ and default angle (angle measured with respect to the positive x-axis) ___________.

A. 2.5 cm, 295 deg
B. 2.5 cm, 245 deg
C. 5 cm, 295 deg
D. 5 cm, 245 deg
E. 10 cm, -25 deg

6. If the vector A = 130 m ⁄ s east, using the scale 1 cm for 20 m ⁄ s, the vector -0.5A can be graphically represented by an arrow of length _________ and default angle (angle measured with respect to the positive x-axis) ___________.

A. 3.25 cm, 0 deg
B. 6.5 cm, 180 deg
C. 0.154 cm, 90 deg
D. 3.25 cm, 180 deg
E. 6.5 cm, 0 deg

7. Given the vectors A = 10 m east and B = 7 m north, using graphical addition determine which of the following most likely represent the magnitude and direction of the sum vector (A + B ) respectively. (You should be able to answer it with sketches not drawn to scale.)

A. 12.207 m, 214.992 deg
B. 17 m, 34.992 deg
C. 12.207 m, 145.008 deg
D. 17 m, 145.008 deg
E. 12.207 m, 34.992 deg

8. Given the vectors A = 6 m west and B = 7 m north, using graphical method determine which of the following most likely represent the magnitude and direction of the difference vector, A - B, respectively. (You should be able to answer it with sketches not drawn to scale.)

A. 9.22 m, 229.399 deg
B. 13 m, 310.601 deg
C. 9.22 m, 310.601 deg
D. 9.22 m, 49.399 deg
E. 13 m, 229.399 deg

9. Determine the x and y components of the vector A = 100 m south.

A. ( -100 m, 0 m )
B. ( 0 m, -100 m )
C. ( 100 m, 0 m )
D. ( -100 m, -100 m )
E. ( 0 m, 100 m )

10. Determine the x and y components of the vector A = 990 m 10 deg south of west.

A. ( -445.634 m, -171.912 m )
B. ( -445.634 m, -274.932 m )
C. ( -974.96 m, -171.912 m )
D. ( -813.517 m, -324.28 m )
E. ( -974.96 m, -274.932 m )

11. Calculate the magnitude of a vector whose x and y components are 6 m and -5 m respectively.

A. 6.403 m
B. 61 m
C. 3.317 m
D. 11 m
E. 7.81 m

12. Calculate the direction (angle with respect to the positive x axis) of a vector whose x and y components are 4 m and 17 m respectively.

A. 76.759 deg
B. 13.241 deg
C. 1.965 deg
D. 92.957 deg
E. 10.392 deg

13. Calculate the magnitude and direction (with respect to the positive x axis) of a vector whose x and y components are -20 m and 13 m respectively.

A. 23.854 m, 141.976 deg
B. 23.854 m, -33.024 deg
C. 26.239 m, 146.976 deg
D. 26.239 m, 141.976 deg
E. 23.854 m, 146.976 deg

14. Given the vectors A = 70 m 10 deg north of east and B = 80 m 80 deg south of east, find the x and y components of their sum vector A + B.

A. ( 117.113 m, -118.319 m )
B. ( 82.828 m, 0 m )
C. ( 117.113 m, -66.629 m )
D. ( 82.828 m, -118.319 m )
E. ( 82.828 m, -66.629 m )

15. Given the vectors A = 10 m 70 deg north of west and B = 100 m 80 deg south of west , find the magnitude and direction (with respect to the positive x axis) of their sum vector A + B.

A. 125.551 m, 256.867 deg
B. 91.476 m, 256.867 deg
C. 125.551 m, 135.68 deg
D. 91.476 m, 135.68 deg
E. 102.8 m, 101.864 deg

Quiz 5: