ExamView - Vectors.tst

Vectors
1. A student adds two vectors with magnitudes of 200 and 40. Which one of the following is the only possible choice
for the magnitude of the resultant?
a. 100
c. 260
b. 200
d. 40
2. The first displacement is 6 m and the second displacement is 3 m. They cannot add together to give a total
displacement of:
a. 2 m.
c. 6 m.
b. 3 m.
d. 9 m.
3. An object moves at a constant velocity of 11 m/s to the southwest for an interval of 20 s. Halfway through this
interval, what is the magnitude of its instantaneous velocity?
a. It can be any value from 0 to 22 m/s.
c. 5.5 m/s
b. 11 m/s
d. More information is needed.
4. A jogger runs halfway around a circular path with a radius of 60 m. What, respectively, are the magnitude of the
displacement and the distance jogged?
a. 60 m, 188 m
c. 0 m, 377 m
b. 120 m, 188 m
d. 120 m, 377 m
A points north and vector ä
B points east. If ä
C=ä
Bä
A, then vector ä
C points:
5. Vector ä
a. north of east.
c. north of west.
b. south of east.
d. south of west.
A is 3 m long and vector ä
B is 4 m long. The length of the sum of the vectors must be:
6. Vector ä
a. 5 m.
c. 12 m.
b. 7 m.
d. some value from 1 m to 7 m.
7. When three vectors are added graphically and form a closed triangle, the largest enclosed angle between any two
of the vectors cannot be greater than:
a. 60.
c. 180.
b. 90.
d. No maximum exists.
8. A car is initially moving at 20 m/s east and a little while later it is moving at 10 m/s north. Which of the following
best describes the orientation of the average acceleration during this time interval?
a. northeast
c. west
b. northwest
d. north of west
9. A hiker walks 200 m west and then walks 100 m north. In what direction is her resulting displacement?
a. north
c. northwest
b. west
d. None of the answers is correct.
10. In a 2-dimensional Cartesian coordinate system the y-component of a given vector is equal to that vector's
magnitude multiplied by which trigonometric function, with respect to the angle between vector and y-axis?
a. sine
c. tangent
b. cosine
d. cotangent
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11. In a 2-dimensional Cartesian system, the x-component of a vector is known, and the angle between vector and
x-axis is known. Which operation is used to calculate the magnitude of the vector? (taken with respect to the
x-component)
a. dividing by cosine
c. multiplying by cosine
b. dividing by sine
d. multiplying by sine
12. A taxicab moves five blocks due north, five blocks due east, and another two blocks due north. Assume all blocks
are of equal size. What is the magnitude of the taxi's displacement, start to finish?
a. 12 blocks
c. 9.2 blocks
b. 9.8 blocks
d. 8.6 blocks
13. The following force vectors act on an object: i) 50.0 newtons at 45.0 north of east and ii) 25.0 newtons at 30.0
south of east. Which of the following represents the magnitude of the resultant and its angle relative to the easterly
direction?
a. 75.0 newtons 7.50
c. 23.4 newtons 18.3
b. 61.4 newtons 21.8
d. 12.8 newtons 37.5
14. Find the resultant of the following two vectors: i) 50 units due east and ii) 100 units 30 north of west.
a. 100 units 30 north of west
c. 87 units 60 north of west
b. 62 units 15 north of west
d. 62 units 54 north of west
15. Arvin the Ant is on a picnic table. He travels 30 cm eastward, then 25 cm northward, and finally 15 cm westward.
What is the magnitude of Arvin's net displacement?
a. 70 cm
c. 52 cm
b. 57 cm
d. 29 cm
16. Arvin the Ant travels 30 cm eastward, then 25 cm northward, and finally 15 cm westward. What is Arvin's
direction of displacement with respect to his original position?
a. 59 N of E
c. 29 N of W
b. 29 N of E
d. 77 N of E
17. A string attached to an airborne kite is maintained at an angle of 40 with the horizontal. If a total of 120 m of
string is reeled in while bringing the kite back to the ground, what is the horizontal displacement of the kite in the
process? (Assume the kite string doesn't sag.)
a. 100 m
c. 77 m
b. 84 m
d. 92 m
18. Jack pulls a sled across a level field by exerting a force of 110 N at an angle of 30 with the ground. What are the
parallel and perpendicular components, respectively, of this force with respect to the ground?
a. 64 N, 190 N
c. 95 N, 55 N
b. 190 N, 64 N
d. 55 N, 95 N
A is 3.0 units in length and points along the positive x-axis; vector ä
B is 4.0 units in length and points along
19. Vector ä
ä and B
ä are added?
a direction 150 from the positive x-axis. What is the magnitude of the resultant when vectors A
a. 7.0
c. 4.7
b. 6.7
d. 2.1
A is 3.0 units in length and points along the positive x-axis; vector ä
B is 4.0 units in length and points along
20. Vector ä
a direction 150 from the positive x-axis. What is the direction of the resultant with respect to the positive x-axis?
a. 77
c. 86
b. 13
d. 103
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21. I walk six miles in a straight line in a direction north of east, and I end up two miles east and several miles north.
How many degrees north of east have I walked?
a. 19
c. 60
b. 45
d. 71
22. Five boys are pushing on a snowball, and each is pushing with a force of 10.0 N. However, each boy is pushing in
a different direction. They are pushing north, northeast, east, southeast, and south. (Each boy is pushing at an angle
of 45.0 relative to his neighbor.) What is the magnitude of the total force on the ball?
a. 0
c. 24.1 N
b. 17.1 N
d. 27.1 N
A, ä
B , and ä
C have magnitudes 6, 11, and 20. When these vectors are added, what is the least possible
23. Vectors ä
magnitude of their resultant?
a. 25
c. 2
b. 15
d. 3
24. Four vectors all have the same magnitude. Vector 1 is at 30, Vector 2 is at 135, vector 3 is at 240, and Vector 4
is at 315. Which vector has the greatest magnitude x-component and which vector has the greatest magnitude
y-component?
a. Vector 1, Vector 2
c. Vector 1, Vector 3
b. Vector 3, Vector 4
d. Vector 3, Vector 2
25. Vector 1 is 7 units long and is at 70. Vector 2 is 5 units long and is at 225. Vector 3 is 3 units long and is at 150.
Which vector has equal magnitude components?
a. Vector 1
c. Vector 3
b. Vector 2
d. None of the vectors has equal magnitude
components.
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ID: A
Vectors
Answer Section
MULTIPLE CHOICE
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B
A
B
B
B
D
C
D
D
B
A
D
B
D
D
A
D
C
D
D
D
C
D
C
B
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