Question 1

If the acceleration of an object is always directed perpendicular to its velocity, then

Accepted Answer

A)  the object is speeding up. 
B)  the object is slowing down. 
C)  the object is moving with a constant velocity. 
D)  the object is turning. 
E)  this situation would not be physically possible. 
A)  the object is speeding up. 
B)  the object is slowing down. 
C)  the object is moving with a constant velocity. 
D)  the object is turning. 
E)  this situation would not be physically possible.

Question 2

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

Accepted Answer

A)  9.7 m at an angle 42° south of east. 
B)  1.1 m at an angle 42° south of east. 
C)  13.7 m at an angle 42° south of east. 
D)  0.7 m at an angle 42° south of east. 
E)  4.7 m at an angle 42° south of east. 
A)  9.7 m at an angle 42° south of east. 
B)  1.1 m at an angle 42° south of east. 
C)  13.7 m at an angle 42° south of east. 
D)  0.7 m at an angle 42° south of east. 
E)  4.7 m at an angle 42° south of east.

Question 3

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

Accepted Answer

A)  2.7 m at an angle 8.3° south of east. 
B)  2.7 m at an angle 8.3° east of south. 
C)  3.2 m at an angle 8.3° east of south. 
D)  3.2 m at an angle 8.3° south of east. 
E)  2.3 m at an angle 8.3° south of east. 
A)  2.7 m at an angle 8.3° south of east. 
B)  2.7 m at an angle 8.3° east of south. 
C)  3.2 m at an angle 8.3° east of south. 
D)  3.2 m at an angle 8.3° south of east. 
E)  2.3 m at an angle 8.3° south of east.

Question 4

If   -   =0, then the vectors   and   have equal magnitudes and are directed in the same direction.

Accepted Answer

A) True 
 B)False

Question 5

Vector   is obtained by rotating vector   counterclockwise by 270°. The components of   will

Accepted Answer

A)  have the same signs as those of   . 
B)  have opposite signs as those of   . 
C)  The x-components will have opposite signs but the y-components will not. 
D)  The y-components will have opposite signs but the x-components will not. 
E)  depend on the quadrant where   is. 
A)  have the same signs as those of   . 
B)  have opposite signs as those of   . 
C)  The x-components will have opposite signs but the y-components will not. 
D)  The y-components will have opposite signs but the x-components will not. 
E)  depend on the quadrant where   is.

Question 6

If   +   =0, then the vectors   and   have equal magnitudes and are directed in the same direction.

Accepted Answer

A) True 
 B)False

Question 7

Vector   is 5.5 cm long and points along the x-axis. Vector   is 7.5 cm long and points at +30° above the negative x-axis.
(a) Determine the x- and y-components of Vector   .
(b) Determine the x- and y-components of Vector   (c) Determine the sum of these two vectors in terms of components.
(d) Determine the sum of these two vectors in terms of magnitude and direction.

Accepted Answer

(a)A_x = 5.5 cm,A_y = 0 (b)B_x = -6.

Question 8

If a vector   has components Ax > 0, and Ay > 0, then the angle that this vector makes with the positive x-axis must be in the range

Accepted Answer

A)  0° to 90°. 
B)  90° to 180°. 
C)  180° to 270°. 
D)  270° to 360°. 
E)  cannot be determined without additional information 
A)  0° to 90°. 
B)  90° to 180°. 
C)  180° to 270°. 
D)  270° to 360°. 
E)  cannot be determined without additional information

Question 9

Which of the following is a vector quantity?

Accepted Answer

A)  time 
B)  mass 
C)  volume 
D)  displacement 
E)  speed 
A)  time 
B)  mass 
C)  volume 
D)  displacement 
E)  speed

Question 10

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

Accepted Answer

A)  0.7 m at an angle 42° north of east. 
B)  13.7 m at an angle 42° north of east. 
C)  1.1 m at an angle 42° north of east. 
D)  9.7 m at an angle 42° north of east. 
E)  2.0 m at an angle 42° north of east. 
A)  0.7 m at an angle 42° north of east. 
B)  13.7 m at an angle 42° north of east. 
C)  1.1 m at an angle 42° north of east. 
D)  9.7 m at an angle 42° north of east. 
E)  2.0 m at an angle 42° north of east.

Question 11

What is the smallest number of vectors that can be added to give a zero resultant?

Accepted Answer

A)  2 
B)  3 
C)  4 
D)  5 
E)  You cannot add vectors and obtain a zero resultant. 
A)  2 
B)  3 
C)  4 
D)  5 
E)  You cannot add vectors and obtain a zero resultant.

Question 12

A car travels along east and its velocity decreases. The acceleration of the car is in which of the following directions?

Accepted Answer

A)  Eastward 
B)  Westward 
C)  Northward 
D)  Southward 
E)  Cannot be determined without additional information. 
A)  Eastward 
B)  Westward 
C)  Northward 
D)  Southward 
E)  Cannot be determined without additional information.

Question 13

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

Accepted Answer

A)  7.2 m at an angle 64° south of east. 
B)  3.3 m at an angle 64° south of east. 
C)  9.8 m at an angle 26° south of east. 
D)  9.8 m at an angle 64° south of east. 
E)  3.3 m at an angle 26° south of east. 
A)  7.2 m at an angle 64° south of east. 
B)  3.3 m at an angle 64° south of east. 
C)  9.8 m at an angle 26° south of east. 
D)  9.8 m at an angle 64° south of east. 
E)  3.3 m at an angle 26° south of east.

Question 14

If   -   =   and A-B=C, then the vectors   and   are oriented perpendicular relative to one other.

Accepted Answer

A) True 
 B)False

Question 15

The resultant vector   of two vectors   and   will have the minimum value when the angle between these vectors is one of the following?

Accepted Answer

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

Question 16

Vector   has a magnitude of 16.0 m and is pointing eastward. It is rotated 110.0° clockwise. The component of this vector along west is

Accepted Answer

A)  15.0 m. 
B)  5.47 m. 
C)  18.7 m. 
D)  12.4 m. 
E)  44.0 m. 
A)  15.0 m. 
B)  5.47 m. 
C)  18.7 m. 
D)  12.4 m. 
E)  44.0 m.

Question 17

If three vectors add up to a zero resultant it is correct to say that

Accepted Answer

A)  it is impossible to find three vectors that add up to a zero resultant. 
B)  the three vectors must be co-linear. 
C)  the three vectors must be in a plane. 
D)  the three vectors must have the same magnitude. 
E)  the three vectors cannot have the same magnitude. 
A)  it is impossible to find three vectors that add up to a zero resultant. 
B)  the three vectors must be co-linear. 
C)  the three vectors must be in a plane. 
D)  the three vectors must have the same magnitude. 
E)  the three vectors cannot have the same magnitude.

Question 18

A plane has an airspeed of 142 m/s. A 30.0 m/s wind is blowing southward at the same time as the plane is flying. What must be the direction of the plane in order to move due east relative to the ground?

Accepted Answer

A)  78.1° north of east 
B)  11.9° north of east 
C)  77.8° north of east 
D)  12.2° north of east 
E)  55.3° north of east 
A)  78.1° north of east 
B)  11.9° north of east 
C)  77.8° north of east 
D)  12.2° north of east 
E)  55.3° north of east

Question 19

A boy jumps at a speed of 20.0 m/s at an angle of 25.0° above the horizontal. What is the horizontal component of the boy's velocity?

Accepted Answer

A)  18.1 m/s 
B)  15.6 m/s 
C)  8.45 m/s 
D)  12.6 m/s 
E)  9.33 m/s 
A)  18.1 m/s 
B)  15.6 m/s 
C)  8.45 m/s 
D)  12.6 m/s 
E)  9.33 m/s

Question 20

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

Accepted Answer

A)  10.0 m at an angle 30° south of east. 
B)  10.0 m at an angle 60° east of south. 
C)  2.0 m at an angle 60° south of east. 
D)  2.0 m at an angle 30° south of east. 
E)  1.0 m at an angle 30° east of south. 
A)  10.0 m at an angle 30° south of east. 
B)  10.0 m at an angle 60° east of south. 
C)  2.0 m at an angle 60° south of east. 
D)  2.0 m at an angle 30° south of east. 
E)  1.0 m at an angle 30° east of south.

Exam 3: Vectors in Physics

If the acceleration of an object is always directed perpendicular to its velocity, then

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

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

If - =0, then the vectors and have equal magnitudes and are directed in the same direction.

Vector is obtained by rotating vector counterclockwise by 270°. The components of will

If + =0, then the vectors and have equal magnitudes and are directed in the same direction.

If a vector has components Ax > 0, and Ay > 0, then the angle that this vector makes with the positive x-axis must be in the range

Which of the following is a vector quantity?

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

What is the smallest number of vectors that can be added to give a zero resultant?

A car travels along east and its velocity decreases. The acceleration of the car is in which of the following directions?

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

If - = and A-B=C, then the vectors and are oriented perpendicular relative to one other.

The resultant vector of two vectors and will have the minimum value when the angle between these vectors is one of the following?

Vector has a magnitude of 16.0 m and is pointing eastward. It is rotated 110.0° clockwise. The component of this vector along west is

If three vectors add up to a zero resultant it is correct to say that

A plane has an airspeed of 142 m/s. A 30.0 m/s wind is blowing southward at the same time as the plane is flying. What must be the direction of the plane in order to move due east relative to the ground?

A boy jumps at a speed of 20.0 m/s at an angle of 25.0° above the horizontal. What is the horizontal component of the boy's velocity?

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

Introduction to Physics

One-Dimensional Kinematics

Two-Dimensional Kinematics

Newtons Laws of Motion

Applications of Newtons Laws

Work and Kinetic Energy

Potential Energy and Conservation of Energy

Linear Momentum and Collisions

Rotational Kinematics and Energy

Rotational Dynamics and Static Equilibrium

Gravity

Oscillations About Equilibrium

Waves and Sound

Fluids

Temperature and Heat

Phases and Phase Changes

The Laws of Thermodynamics

Electric Charges, Forces, and Fields

Electric Potential and Electric Potential Energy

Electric Current and Direct-Current Circuits

Magnetism

Magnetic Flux and Faradays Law of Induction

Alternating-Current Circuits

Electromagnetic Waves

Geometrical Optics

Optical Instruments

Physical Optics: Interference and Diffraction

Relativity

Quantum Physics

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If a vector has components A_x > 0, and A_y > 0, then the angle that this vector makes with the positive x-axis must be in the range