Question 1

Vector   = 8.0 m and points east, Vector   = 6.0 m and points north, and vector   = 5.0 m and points west. The resultant vector   +   +   is given by

Accepted Answer

A)  2.0 m at an angle 63° north of east. 
B)  2.0 m at an angle 63° east of north. 
C)  6.7 m at an angle 63° east of north. 
D)  6.7 m at an angle 63° north of east. 
E)  3.8 m at an angle 67° north of east 
A)  2.0 m at an angle 63° north of east. 
B)  2.0 m at an angle 63° east of north. 
C)  6.7 m at an angle 63° east of north. 
D)  6.7 m at an angle 63° north of east. 
E)  3.8 m at an angle 67° north of east

Question 2

The magnitude of a unit vector is one.

Accepted Answer

A) True 
 B)False

Question 3

A vector is located in the x-y plane. The x- and y-components of this vector are 4.00 m and 3.00 m, respectively. Find the angle that this vector makes with the positive y-axis.

Accepted Answer

A)  53.1° 
B)  36.9° 
C)  126.9° 
D)  22.4° 
E)  48.6° 
A)  53.1° 
B)  36.9° 
C)  126.9° 
D)  22.4° 
E)  48.6°

Question 4

Three vectors have equal magnitudes and make 120° with each other. We can say that

Accepted Answer

A)  the magnitude of the resultant is one-third the magnitude of the component vectors. 
B)  the magnitude of the resultant is three times the magnitude of the component vectors. 
C)  the magnitude of the resultant is more than three times the magnitude of each component vector. 
D)  the resultant is zero. 
E)  the magnitude of the resultant is equal to the magnitude of the component vectors. 
A)  the magnitude of the resultant is one-third the magnitude of the component vectors. 
B)  the magnitude of the resultant is three times the magnitude of the component vectors. 
C)  the magnitude of the resultant is more than three times the magnitude of each component vector. 
D)  the resultant is zero. 
E)  the magnitude of the resultant is equal to the magnitude of the component vectors.

Question 5

A vector with zero magnitude can have one or more components that are nonzero.

Accepted Answer

A) True 
 B)False

Question 6

FIGURE 3-4  
-Refer to Figure 3-4 The magnitudes of the forces as shown in the figure are:
F1 = 80.0 N, F2 = 60.0 N, and F3 = 40.0 N. The resultant force acting on the particle O is given by

Accepted Answer

A)  180 N at an angle 60.0° with respect to +x-axis. 
B)  60.0 N at an angle 90.0° with respect to +x-axis. 
C)  20.0 N at an angle 34.3° with respect to +x-axis. 
D)  35.5 N at an angle 34.3° with respect to +x-axis. 
E)  40.0 N at an angle 60.0° with respect to +x-axis. 
A)  180 N at an angle 60.0° with respect to +x-axis. 
B)  60.0 N at an angle 90.0° with respect to +x-axis. 
C)  20.0 N at an angle 34.3° with respect to +x-axis. 
D)  35.5 N at an angle 34.3° with respect to +x-axis. 
E)  40.0 N at an angle 60.0° with respect to +x-axis.

Question 7

A student adds two displacement vectors that have the magnitudes of 12.0 m and 5.0 m. What is the range of possible answers for the magnitude of the resultant vector?

Accepted Answer

between 7.

Question 8

What is the angle between the vectors   and -   when these vectors are drawn from a common origin?

Accepted Answer

A)  90° 
B)  0° 
C)  360° 
D)  180° 
E)  270° 
A)  90° 
B)  0° 
C)  360° 
D)  180° 
E)  270°

Question 9

Vector   = 6.0 m and points 30° north of east. Vector   = 4.0 m and points 30° south of west. The resultant vector   +   is given by

Accepted Answer

A)  2.0 m at an angle 30° north of east. 
B)  2.0 m at an angle 60° north of east. 
C)  10.0 m at an angle 60° east of north. 
D)  10.0 m at an angle 30° north of east. 
E)  10.0 m at an angle 60° north of east. 
A)  2.0 m at an angle 30° north of east. 
B)  2.0 m at an angle 60° north of east. 
C)  10.0 m at an angle 60° east of north. 
D)  10.0 m at an angle 30° north of east. 
E)  10.0 m at an angle 60° north of east.

Question 10

Vector   has a magnitude of 16.0 m and is pointing eastward. Vector   also has a magnitude of 16.0 m and is pointing westward. Vector   is rotated clockwise by 110° and vector   is rotated counterclockwise by 110°. Which one of the following statements is correct?

Accepted Answer

A)  The northward component of vector   is bigger than the northward component of vector   . 
B)  The southward component of vector   is bigger than the southward component of vector   . 
C)  The eastward component of vector   is bigger than the westward component of vector   . 
D)  The westward component of vector   is bigger than the eastward component of vector   . 
E)  The westward component of vector   is equal to the eastward component of vector   . 
A)  The northward component of vector   is bigger than the northward component of vector   . 
B)  The southward component of vector   is bigger than the southward component of vector   . 
C)  The eastward component of vector   is bigger than the westward component of vector   . 
D)  The westward component of vector   is bigger than the eastward component of vector   . 
E)  The westward component of vector   is equal to the eastward component of vector   .

Question 11

FIGURE 3-2  
-Refer to Figure 3-2. Vector   as expressed in terms of vectors   and   is given by

Accepted Answer

A)    +   . 
B)    -   . 
C)    . 
D)    . 
E)  None of the other choices is correct. 
A)    +   . 
B)    -   . 
C)    . 
D)    . 
E)  None of the other choices is correct.

Question 12

Vector   = 8.0 m and points 30° north of east, Vector   = 6.0 m and points 30° west of north, and vector   = 5.0 m and points 30° west of south. The resultant vector   +   +   is given by

Accepted Answer

A)  2.7 m at an angle 74° north of east. 
B)  5.9 m at an angle 74° north of east. 
C)  4.8 m at an angle 74° east of north. 
D)  5.1 m at an angle 74° north of east. 
E)  2.1 m at an angle 66° east of north. 
A)  2.7 m at an angle 74° north of east. 
B)  5.9 m at an angle 74° north of east. 
C)  4.8 m at an angle 74° east of north. 
D)  5.1 m at an angle 74° north of east. 
E)  2.1 m at an angle 66° east of north.

Question 13

Which of the following statements is a true statement?

Accepted Answer

A)  A vector can have positive or negative magnitudes. 
B)  A vector's magnitude cannot be more than the magnitude of one of its components. 
C)  A vector's magnitude cannot be less than the sum of the magnitude of its components. 
D)  If the x-component of a vector is smaller than its y-component then that vector is in the opposite direction to its y-component. 
E)  The magnitude of a vector cannot be zero unless all of its components are zero. 
A)  A vector can have positive or negative magnitudes. 
B)  A vector's magnitude cannot be more than the magnitude of one of its components. 
C)  A vector's magnitude cannot be less than the sum of the magnitude of its components. 
D)  If the x-component of a vector is smaller than its y-component then that vector is in the opposite direction to its y-component. 
E)  The magnitude of a vector cannot be zero unless all of its components are zero.

Question 14

Which of the following is a scalar quantity?

Accepted Answer

A)  velocity 
B)  acceleration 
C)  displacement 
D)  mass 
E)  force 
A)  velocity 
B)  acceleration 
C)  displacement 
D)  mass 
E)  force

Question 15

Mass is a vector quantity.

Accepted Answer

A) True 
 B)False

Question 16

Vector   = 4.00 m points eastward and vector   = 3.00 m points southward. The resultant vector   +   is given by

Accepted Answer

A)  5.00 m at an angle 36.9° south of east. 
B)  5.00 m at an angle 53.1° south of east. 
C)  5.00 m at an angle 71.6° south of east. 
D)  5.00 m at an angle 18.4° south of east. 
E)  5.00 m at an angle 26.6° south of east. 
A)  5.00 m at an angle 36.9° south of east. 
B)  5.00 m at an angle 53.1° south of east. 
C)  5.00 m at an angle 71.6° south of east. 
D)  5.00 m at an angle 18.4° south of east. 
E)  5.00 m at an angle 26.6° south of east.

Question 17

Two vectors   and   are added together giving vector   . The magnitude of C is such that C =   . If the magnitudes of both vectors   and   are doubled, the magnitude of vector   will

Accepted Answer

A)  increase by a factor of 8. 
B)  increase by a factor of 4. 
C)  increase by a factor of 2. 
D)  increase by a factor of   . 
E)  not change. 
A)  increase by a factor of 8. 
B)  increase by a factor of 4. 
C)  increase by a factor of 2. 
D)  increase by a factor of   . 
E)  not change.

Question 18

Vector   = 4.0 m points eastward and vector   = 3.0 m points westward. The resultant vector   +   is given by

Accepted Answer

A)  7.0 m east. 
B)  7.0 m west. 
C)  1.0 m east. 
D)  1.0 m west. 
E)  3.5 m west. 
A)  7.0 m east. 
B)  7.0 m west. 
C)  1.0 m east. 
D)  1.0 m west. 
E)  3.5 m west.

Question 19

The components of vectors   and   are as follows:   (1, -1) and   (2, 4). The components of the resultant vector   -   are given by

Accepted Answer

A)  (-1, -5). 
B)  (3, 3). 
C)  (1, -5). 
D)  (0, 4). 
E)  (-1,3) 
A)  (-1, -5). 
B)  (3, 3). 
C)  (1, -5). 
D)  (0, 4). 
E)  (-1,3)

Question 20

A plane is headed eastward at a speed of 156 m/s. A 20.0 m/s wind is blowing southward at the same time as the plane is flying. The velocity of the plane relative to the ground is

Accepted Answer

A)  157 m/s at an angle 7.31° south of east. 
B)  157 m/s at an angle 7.31° east of south. 
C)  155 m/s at an angle 7.36° south of east. 
D)  155 m/s at an angle 7.36° east of south. 
E)  157 m/s at an angle 7.36° south of east. 
A)  157 m/s at an angle 7.31° south of east. 
B)  157 m/s at an angle 7.31° east of south. 
C)  155 m/s at an angle 7.36° south of east. 
D)  155 m/s at an angle 7.36° east of south. 
E)  157 m/s at an angle 7.36° south of east.

Exam 3: Vectors in Physics

Vector = 8.0 m and points east, Vector = 6.0 m and points north, and vector = 5.0 m and points west. The resultant vector + + is given by

The magnitude of a unit vector is one.

A vector is located in the x-y plane. The x- and y-components of this vector are 4.00 m and 3.00 m, respectively. Find the angle that this vector makes with the positive y-axis.

Three vectors have equal magnitudes and make 120° with each other. We can say that

A vector with zero magnitude can have one or more components that are nonzero.

FIGURE 3-4 -Refer to Figure 3-4 The magnitudes of the forces as shown in the figure are: F1 = 80.0 N, F2 = 60.0 N, and F3 = 40.0 N. The resultant force acting on the particle O is given by

A student adds two displacement vectors that have the magnitudes of 12.0 m and 5.0 m. What is the range of possible answers for the magnitude of the resultant vector?

What is the angle between the vectors and - when these vectors are drawn from a common origin?

Vector = 6.0 m and points 30° north of east. Vector = 4.0 m and points 30° south of west. The resultant vector + is given by

Vector has a magnitude of 16.0 m and is pointing eastward. Vector also has a magnitude of 16.0 m and is pointing westward. Vector is rotated clockwise by 110° and vector is rotated counterclockwise by 110°. Which one of the following statements is correct?

FIGURE 3-2 -Refer to Figure 3-2. Vector as expressed in terms of vectors and is given by

Vector = 8.0 m and points 30° north of east, Vector = 6.0 m and points 30° west of north, and vector = 5.0 m and points 30° west of south. The resultant vector + + is given by

Which of the following statements is a true statement?

Which of the following is a scalar quantity?

Mass is a vector quantity.

Vector = 4.00 m points eastward and vector = 3.00 m points southward. The resultant vector + is given by

Two vectors and are added together giving vector . The magnitude of C is such that C = . If the magnitudes of both vectors and are doubled, the magnitude of vector will

Vector = 4.0 m points eastward and vector = 3.0 m points westward. The resultant vector + is given by

The components of vectors and are as follows: (1, -1) and (2, 4). The components of the resultant vector - are given by

A plane is headed eastward at a speed of 156 m/s. A 20.0 m/s wind is blowing southward at the same time as the plane is flying. The velocity of the plane relative to the ground is

Introduction to Physics

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Newtons Laws of Motion

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FIGURE 3-4 -Refer to Figure 3-4 The magnitudes of the forces as shown in the figure are: F₁ = 80.0 N, F₂ = 60.0 N, and F₃ = 40.0 N. The resultant force acting on the particle O is given by