Question 1

Your motorboat can move at 30 km/h in still water.What is the minimum time it will take you to move 12 km downstream in a river flowing at 6.0 km/h?

Accepted Answer

A) 20 min 
B) 22 min 
C) 24 min 
D) 30 min 
A) 20 min 
B) 22 min 
C) 24 min 
D) 30 min

Question 2

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

Question 3

A plane has an eastward heading with an airspeed 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.

Question 4

Three vectors,  ,  ,and  ,have the components shown in the table.What angle does the resultant of these three vectors make with the +x-axis?

Accepted Answer

A) 24° above the +x-axis 
B) 24° below the +x-axis 
C) 66° above the +x-axis 
D) 66° below the +x-axis 
A) 24° above the +x-axis 
B) 24° below the +x-axis 
C) 66° above the +x-axis 
D) 66° below the +x-axis

Question 5

Vectors  
And  
Obey the equation  
+  
= 0.These vectors satisfy which one of the following statements?

Accepted Answer

A) Vectors   and
  are at right angles to each other. 
B) Vectors   and
  point in the same direction. 
C) Vectors   and
  have the same magnitudes. 
D) The magnitude of   is the negative of the magnitude of
  . 
A) Vectors   and
  are at right angles to each other. 
B) Vectors   and
  point in the same direction. 
C) Vectors   and
  have the same magnitudes. 
D) The magnitude of   is the negative of the magnitude of
  .

Question 6

Two vectors,of magnitudes 20 mm and 50 mm,are added together.Which one of the following is a possible value for the magnitude of the resultant?

Accepted Answer

A) 10 mm 
B) 20 mm 
C) 40 mm 
D) 80 mm 
A) 10 mm 
B) 20 mm 
C) 40 mm 
D) 80 mm

Question 7

Vector  
Has a magnitude of 4.0 m and points 30° south of east.Vector  
Has a magnitude of 2.0 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.

Question 8

Vector  
Has a magnitude of 6.0 m and points 30° north of east.Vector  
Has a magnitude of 4.0 m and points 30° west of south.The resultant vector  
+  
Is given by

Accepted Answer

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

Question 9

When rolled down a mountainside at 7.0 m/s,the horizontal component of its velocity vector was 1.8 m/s.What was the angle of the mountain surface above the horizontal?

Accepted Answer

A) 75° 
B) 57° 
C) 33° 
D) 15° 
A) 75° 
B) 57° 
C) 33° 
D) 15°

Question 10

A car travels 20 km west and then 20 km south.What is the magnitude of its displacement vector?

Accepted Answer

A) 0 km 
B) 20 km 
C) 28 km 
D) 40 km 
A) 0 km 
B) 20 km 
C) 28 km 
D) 40 km

Question 11

A player throws a football 50.0 m at 61.0° north of west.What is the westward component of the displacement of the football?

Accepted Answer

A) 64.7m 
B) 55.0 m 
C) 0.00 m 
D) 74.0 m 
E) 24.2 m 
A) 64.7m 
B) 55.0 m 
C) 0.00 m 
D) 74.0 m 
E) 24.2 m

Question 12

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 13

The x component of vector  
Is 5.3 units,and its y component is -2.3 units.The angle that vector  
Makes with the +x-axis is closest to

Accepted Answer

A) 340°. 
B) 160°. 
C) 250°. 
D) 110°. 
E) 23°. 
A) 340°. 
B) 160°. 
C) 250°. 
D) 110°. 
E) 23°.

Question 14

The figure shows four vectors,  
,  
,  
,and  
,having magnitudes 12.0 m,10.0 m,8.0 m,and 4.0 m,respectively.The sum of these four vectors is

Accepted Answer

A) 16.4 m at an angle 77.8° with respect to +x-axis. 
B) 16.4 m at an angle 12.3° with respect to +x-axis. 
C) 19.5 m at an angle 77.8° with respect to +x-axis. 
D) 19.5 m at an angle 12.3° with respect to +x-axis. 
E) 8.20 m at an angle 77.8° with respect to +x-axis. 
A) 16.4 m at an angle 77.8° with respect to +x-axis. 
B) 16.4 m at an angle 12.3° with respect to +x-axis. 
C) 19.5 m at an angle 77.8° with respect to +x-axis. 
D) 19.5 m at an angle 12.3° with respect to +x-axis. 
E) 8.20 m at an angle 77.8° with respect to +x-axis.

Question 15

If a vector's components are all negative,then the magnitude of the vector is negative.

Accepted Answer

A) True 
 B)False

Question 16

The magnitude of a vector can never be less than the magnitude of any of its components.

Accepted Answer

A) True 
 B)False

Question 17

On a calm day with no wind,you can run a 1500-m race at a velocity of 4.0 m/s.If you run the same race on a day when you have a constant headwind that slows your speed by 2.0 m/s,how much time would it take you to finish the race?

Accepted Answer

A) 250 s 
B) 750 s 
C) 1125 s 
D) 9000 s 
A) 250 s 
B) 750 s 
C) 1125 s 
D) 9000 s

Question 18

The components of vectors  
And  
Are given as follows:
Ax = 7.6 Bx = -5.1
Ay = -9.2 By = -6.8
What is the magnitude of the vector difference  
-  
?

Accepted Answer

A) 13 
B) 3.5 
C) 16 
D) 170 
E) 3.4 
A) 13 
B) 3.5 
C) 16 
D) 170 
E) 3.4

Question 19

Consider two vectors  
And  
Shown in the figure.The difference  
-  
Is best illustrated by

Accepted Answer

A) choice (a). 
B) choice (b). 
C) choice (c). 
D) choice (d). 
A) choice (a). 
B) choice (b). 
C) choice (c). 
D) choice (d).

Question 20

Vector  
Has a magnitude of 8.0 m and points east,vector  
Has a magnitude of 6.0 m and points north,and vector  
Has a magnitude of 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.

Exam 3: Vectors in Physics

Your motorboat can move at 30 km/h in still water.What is the minimum time it will take you to move 12 km downstream in a river flowing at 6.0 km/h?

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

A plane has an eastward heading with an airspeed 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

Three vectors, , ,and ,have the components shown in the table.What angle does the resultant of these three vectors make with the +x-axis?

Vectors And Obey the equation + = 0.These vectors satisfy which one of the following statements?

Two vectors,of magnitudes 20 mm and 50 mm,are added together.Which one of the following is a possible value for the magnitude of the resultant?

Vector Has a magnitude of 4.0 m and points 30° south of east.Vector Has a magnitude of 2.0 m and points 30° north of west.The resultant vector + Is given by

Vector Has a magnitude of 6.0 m and points 30° north of east.Vector Has a magnitude of 4.0 m and points 30° west of south.The resultant vector + Is given by

When rolled down a mountainside at 7.0 m/s,the horizontal component of its velocity vector was 1.8 m/s.What was the angle of the mountain surface above the horizontal?

A car travels 20 km west and then 20 km south.What is the magnitude of its displacement vector?

A player throws a football 50.0 m at 61.0° north of west.What is the westward component of the displacement of the football?

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

The x component of vector Is 5.3 units,and its y component is -2.3 units.The angle that vector Makes with the +x-axis is closest to

The figure shows four vectors, , , ,and ,having magnitudes 12.0 m,10.0 m,8.0 m,and 4.0 m,respectively.The sum of these four vectors is

If a vector's components are all negative,then the magnitude of the vector is negative.

The magnitude of a vector can never be less than the magnitude of any of its components.

On a calm day with no wind,you can run a 1500-m race at a velocity of 4.0 m/s.If you run the same race on a day when you have a constant headwind that slows your speed by 2.0 m/s,how much time would it take you to finish the race?

The components of vectors And Are given as follows: Ax = 7.6 Bx = -5.1 Ay = -9.2 By = -6.8 What is the magnitude of the vector difference - ?

Consider two vectors And Shown in the figure.The difference - Is best illustrated by

Vector Has a magnitude of 8.0 m and points east,vector Has a magnitude of 6.0 m and points north,and vector Has a magnitude of 5.0 m and points 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

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

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

The components of vectors And Are given as follows: A_x = 7.6 B_x = -5.1 A_y = -9.2 B_y = -6.8 What is the magnitude of the vector difference - ?