Question 1

Vector   is along the x-axis and vector   is along the y-axis. Which one of the following statements is correct with respect to these vectors?

Accepted Answer

A)  The x-component of vector   is equal to the x-component of vector   . 
B)  The y-component of vector   is equal to the y-component of vector   . 
C)  The x-component of vector   is equal and opposite to the x-component of vector   . 
D)  The y-component of vector   is equal and opposite to the y-component of vector   . 
E)  Vector   does not have any component along the y-axis and vector   does not have any component along the x-axis. 
A)  The x-component of vector   is equal to the x-component of vector   . 
B)  The y-component of vector   is equal to the y-component of vector   . 
C)  The x-component of vector   is equal and opposite to the x-component of vector   . 
D)  The y-component of vector   is equal and opposite to the y-component of vector   . 
E)  Vector   does not have any component along the y-axis and vector   does not have any component along the x-axis. E

Question 2

A scalar quantity multiplied by a unit vector is a scalar quantity.

Accepted Answer

A) True 
 B)False  False

Question 3

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

Accepted Answer

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

Question 4

A car travels along eastward with a constant velocity. The magnitude of the acceleration of the car is

Accepted Answer

A)  decreasing. 
B)  increasing. 
C)  non-zero constant. 
D)  zero. 
E)  None of the other choices is correct. 
A)  decreasing. 
B)  increasing. 
C)  non-zero constant. 
D)  zero. 
E)  None of the other choices is correct.

Question 5

You are trying to cross a river that flows due south with a strong current. You start out in your motorboat on the east bank desiring to reach the west bank directly west from your starting point. You should head your motorboat

Accepted Answer

A)  due west. 
B)  due north. 
C)  due south. 
D)  in a southwesterly direction. 
E)  in a northwesterly direction. 
A)  due west. 
B)  due north. 
C)  due south. 
D)  in a southwesterly direction. 
E)  in a northwesterly direction.

Question 6

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

Accepted Answer

A)  3.3 m at an angle 71° south of east. 
B)  5.3 m at an angle 71° south of east. 
C)  3.3 m at an angle 19° south of east. 
D)  5.3 m at an angle 19° south of east. 
E)  2.6 m at an angle 19° south of east. 
A)  3.3 m at an angle 71° south of east. 
B)  5.3 m at an angle 71° south of east. 
C)  3.3 m at an angle 19° south of east. 
D)  5.3 m at an angle 19° south of east. 
E)  2.6 m at an angle 19° south of east.

Question 7

A vector   has components Ax = 12 m and Ay = 5.0 m. What is the magnitude of vector   ?

Accepted Answer

A)  7.0 m 
B)  13 m 
C)  17 m 
D)  60 m 
E)  169 m 
A)  7.0 m 
B)  13 m 
C)  17 m 
D)  60 m 
E)  169 m

Question 8

A car is moving with a constant speed along a circular track. The car is therefore not accelerating.

Accepted Answer

A) True 
 B)False

Question 9

A plane has an airspeed of 142 m/s. A 16.0 m/s wind is blowing southward at the same time as the plane is flying. If the velocity of the plane relative to Earth is due east, what is the magnitude of that velocity?

Accepted Answer

A)  16.2 m/s 
B)  16.0 m/s 
C)  158 m/s 
D)  141 m/s 
E)  48 m/s 
A)  16.2 m/s 
B)  16.0 m/s 
C)  158 m/s 
D)  141 m/s 
E)  48 m/s

Question 10

A swimmer heading directly across a river 200 m wide reaches the opposite bank in 6 min 40 s. She is swept downstream 480 m. How fast can she swim in still water?

Accepted Answer

A)  0.50 m/s 
B)  0.80 m/s 
C)  1.2 m/s 
D)  1.4 m/s 
E)  1.8 m/s 
A)  0.50 m/s 
B)  0.80 m/s 
C)  1.2 m/s 
D)  1.4 m/s 
E)  1.8 m/s

Question 11

A boat, whose speed in still water is 1.75 m/s, must aim upstream at an angle of 26.3° (with respect to a line perpendicular to the shore) in order to travel directly across the stream.
(a) Determine the speed of the current.
(b) Determine the resultant speed of the boat with respect to the shore.

Accepted Answer

(a)0.775 m

Question 12

If   +   =   and A2+B2=C2, then the vectors   and   are oriented perpendicular relative to one other.

Accepted Answer

A) True 
 B)False

Question 13

An airplane flies between two points on the ground that are 500 km apart. The destination is directly north of the origination of the flight. The plane flies with an air speed of 120 m/s. If a constant wind blows at 10.0 m/s due west during the flight, what direction must the plane fly relative to the air to arrive at the destination?

Accepted Answer

A)  4.78° east of north 
B)  4.76° east of north 
C)  85.2° west of north 
D)  4.78° west of north 
E)  4.76° west of north 
A)  4.78° east of north 
B)  4.76° east of north 
C)  85.2° west of north 
D)  4.78° west of north 
E)  4.76° west of north

Question 14

If a vector   has components Ax y < 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 15

Vector   is 75.0 cm long and points at 30° above the positive x-axis. Vector   is 25.0 cm long and points along the negative x-axis. Vector   is 40.0 cm long and points at 45° below 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 x- and y-components of Vector   .
(d) Determine the sum of these three vectors in terms of components.
(e) Determine the sum of these three vectors in terms of magnitude and direction.

Accepted Answer

(a)A_x = 65 cm,A_y = 38 cm (b)B_x =

Question 16

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

Accepted Answer

A) True 
 B)False

Question 17

If the velocity vector of a car in a particular direction is increasing, the acceleration vector of that car in the same direction must also be increasing.

Accepted Answer

A) True 
 B)False

Question 18

Under which of the following conditions would a car have a westward acceleration?

Accepted Answer

A)  As a car travels eastward with its velocity is increasing. 
B)  A a car travels eastward with its velocity is decreasing. 
C)  As a car travels westward with its velocity is decreasing. 
D)  As a car travels westward with its velocity is constant. 
E)  As a car travels eastward with its velocity is constant. 
A)  As a car travels eastward with its velocity is increasing. 
B)  A a car travels eastward with its velocity is decreasing. 
C)  As a car travels westward with its velocity is decreasing. 
D)  As a car travels westward with its velocity is constant. 
E)  As a car travels eastward with its velocity is constant.

Question 19

A component of a vector can be greater than the vector's magnitude.

Accepted Answer

A) True 
 B)False

Question 20

FIGURE 3-5  
-Refer to Figure 3-5. The components of the sum of these vectors are given by

Accepted Answer

A)  Choice 1 
B)  Choice 2 
C)  Choice 3 
D)  Choice 4 
E)  Choice 5 
A)  Choice 1 
B)  Choice 2 
C)  Choice 3 
D)  Choice 4 
E)  Choice 5

Exam 3: Vectors in Physics

Vector is along the x-axis and vector is along the y-axis. Which one of the following statements is correct with respect to these vectors?

A scalar quantity multiplied by a unit vector is a scalar quantity.

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

A car travels along eastward with a constant velocity. The magnitude of the acceleration of the car is

You are trying to cross a river that flows due south with a strong current. You start out in your motorboat on the east bank desiring to reach the west bank directly west from your starting point. You should head your motorboat

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

A vector has components Ax = 12 m and Ay = 5.0 m. What is the magnitude of vector ?

A car is moving with a constant speed along a circular track. The car is therefore not accelerating.

A plane has an airspeed of 142 m/s. A 16.0 m/s wind is blowing southward at the same time as the plane is flying. If the velocity of the plane relative to Earth is due east, what is the magnitude of that velocity?

A swimmer heading directly across a river 200 m wide reaches the opposite bank in 6 min 40 s. She is swept downstream 480 m. How fast can she swim in still water?

A boat, whose speed in still water is 1.75 m/s, must aim upstream at an angle of 26.3° (with respect to a line perpendicular to the shore) in order to travel directly across the stream. (a) Determine the speed of the current. (b) Determine the resultant speed of the boat with respect to the shore.

If + = and A2+B2=C2, then the vectors and are oriented perpendicular relative to one other.

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

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

If the velocity vector of a car in a particular direction is increasing, the acceleration vector of that car in the same direction must also be increasing.

Under which of the following conditions would a car have a westward acceleration?

A component of a vector can be greater than the vector's magnitude.

FIGURE 3-5 -Refer to Figure 3-5. The components of the sum of these vectors are 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

Atomic Physics

Nuclear Physics and Nuclear Radiation

Filters

A vector has components A_x = 12 m and A_y = 5.0 m. What is the magnitude of vector ?

If + = and A²+B²=C², then the vectors and are oriented perpendicular relative to one other.

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