Question 1

A plane has an airspeed of 200 m/s northward,and is in a wind of 50.0 m/s to the west.The plane's speed relative to the ground is

Accepted Answer

A) 150 m/s. 
B) 200 m/s. 
C) 206 m/s. 
D) 250 m/s. 
A) 150 m/s. 
B) 200 m/s. 
C) 206 m/s. 
D) 250 m/s. C

Question 2

Vector  
Has a magnitude of 7.0 m and points 30° east of north.Vector  
Has a magnitude of 5.0 m and points 30° west of south.The resultant vector  
+  
Is given by

Accepted Answer

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

Question 3

The eastward component of vector  
Is equal to the westward component of vector  
And their northward components are equal.Which one of the following statements must be correct for these two vectors?

Accepted Answer

A) Vector   is parallel to vector
  . 
B) Vector   is antiparallel (in the opposite direction)to vector
  . 
C) Vector   must be perpendicular to vector
  . 
D) The magnitude of vector   must be equal to the magnitude of vector
  . 
E) The angle between vector   and vector
  must be 90°. 
A) Vector   is parallel to vector
  . 
B) Vector   is antiparallel (in the opposite direction)to vector
  . 
C) Vector   must be perpendicular to vector
  . 
D) The magnitude of vector   must be equal to the magnitude of vector
  . 
E) The angle between vector   and vector
  must be 90°. D

Question 4

The magnitude of  
Is 5.5 m,and this vector lies in the second quadrant and makes an angle of 34° with the +y-axis.The components of  
Are closest to

Accepted Answer

A)    = -3.1 m,
  = 4.6 m. 
B)    = 3.1 m,
  = -4.6 m. 
C)    = 4.6 m,
  = -3.1 m. 
D)    = -4.6 m,
  = 3.1 m. 
E)    = -4.6 m,
  = -3.1 m. 
A)    = -3.1 m,
  = 4.6 m. 
B)    = 3.1 m,
  = -4.6 m. 
C)    = 4.6 m,
  = -3.1 m. 
D)    = -4.6 m,
  = 3.1 m. 
E)    = -4.6 m,
  = -3.1 m.

Question 5

Four vectors,  
,  
,  
,and  
,are shown in the figure.The sum of these four vectors is a vector having magnitude and direction

Accepted Answer

A) 4.0 cm,along +x-axis. 
B) 4.0 cm,along -x-axis. 
C) 4.0 cm,along +y-axis. 
D) 4.0 cm,along -y-axis. 
E) 4.0 cm,45° above +x-axis. 
A) 4.0 cm,along +x-axis. 
B) 4.0 cm,along -x-axis. 
C) 4.0 cm,along +y-axis. 
D) 4.0 cm,along -y-axis. 
E) 4.0 cm,45° above +x-axis.

Question 6

Vector  
Has magnitude 2 units and is directed to the north.Vector  
Has magnitude  
And is directed to the south.Calculate the magnitude and direction of

Accepted Answer

A) 7 units,north 
B) 7 units,south 
C) 3 units,north 
D) 3 units,south 
A) 7 units,north 
B) 7 units,south 
C) 3 units,north 
D) 3 units,south

Question 7

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

Accepted Answer

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

Question 8

The magnitude of a vector an only zero if all of its components are zero.

Accepted Answer

A) True 
 B)False

Question 9

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 north.The resultant vector  
+  
Is given by

Accepted Answer

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

Question 10

Two displacement vectors have magnitudes of 5.0 m and 7.0 m,respectively.If these two vectors are added together,the magnitude of the sum

Accepted Answer

A) is equal to 2.0 m. 
B) could be as small as 2.0 m or as large as 12 m. 
C) is equal to 12 m. 
D) is equal to 8.6 m. 
A) is equal to 2.0 m. 
B) could be as small as 2.0 m or as large as 12 m. 
C) is equal to 12 m. 
D) is equal to 8.6 m.

Question 11

If three vectors add to zero,they must all have equal magnitudes.

Accepted Answer

A) True 
 B)False

Question 12

You walk 53 m to the north,then you turn 60° to your right and walk another  
Determine the direction of your displacement vector.Express your answer as an angle relative to east.

Accepted Answer

A) 63° N of E 
B) 50° N of E 
C) 57° N of E 
D) 69° N of E 
A) 63° N of E 
B) 50° N of E 
C) 57° N of E 
D) 69° N of E

Question 13

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 to the y component of vector
  . 
D) The y component of vector   is equal to the x component of vector
  . 
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 to the y component of vector
  . 
D) The y component of vector   is equal to the x component of vector
  .

Question 14

Vector  
Has a magnitude of 6.0 m and points 30° south 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) 7.2 m at an angle of 64° south of east. 
B) 3.3 m at an angle of 64° south of east. 
C) 9.8 m at an angle of 26° south of east. 
D) 9.8 m at an angle of 64° south of east. 
E) 3.3 m at an angle of 26° south of east. 
A) 7.2 m at an angle of 64° south of east. 
B) 3.3 m at an angle of 64° south of east. 
C) 9.8 m at an angle of 26° south of east. 
D) 9.8 m at an angle of 64° south of east. 
E) 3.3 m at an angle of 26° south of east.

Question 15

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 16

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 17

You are traveling at 55 mi/h along the +x-axis relative to a straight,level road and pass a car that is traveling at 45 mi/h.The relative velocity of your car to the other car is

Accepted Answer

A) -10 mi/h. 
B) 10 mi/h. 
C) 65 mi/h. 
D) 35 mi/h. 
A) -10 mi/h. 
B) 10 mi/h. 
C) 65 mi/h. 
D) 35 mi/h.

Question 18

A boat,whose speed in still water is 8.0 m/s,crosses a river with a current of 6.0 m/s.If the boat heads perpendicular to the current,what is the speed of the boat relative to an observer standing on the shore as it crosses the river?

Accepted Answer

A) 5.3 m/s 
B) 6.0 m/s 
C) 8.0 m/s 
D) 10.0 m/s 
A) 5.3 m/s 
B) 6.0 m/s 
C) 8.0 m/s 
D) 10.0 m/s

Question 19

An airplane flies between two points on the ground that are 500 km apart.The destination is directly north of the point of origin of the flight.The plane flies with an airspeed of 120 m/s.If a constant wind blows at 10 m/s toward the west during the flight,what direction must the plane fly relative to the air to arrive at the destination?

Accepted Answer

A) 4.8° east of north 
B) 5.9° east of north 
C) 85° west of north 
D) 4.8° west of north 
E) 5.9° west of north 
A) 4.8° east of north 
B) 5.9° east of north 
C) 85° west of north 
D) 4.8° west of north 
E) 5.9° west of north

Question 20

An airplane with an airspeed of 120 km/h has a heading of 30° east of north in a wind that is blowing toward the west at 30 km/h.What is the speed of the plane relative to the ground?

Accepted Answer

A) 90 km/h 
B) 110 km/h 
C) 140 km/h 
D) 150 km/h 
A) 90 km/h 
B) 110 km/h 
C) 140 km/h 
D) 150 km/h

Exam 3: Vectors in Physics

A plane has an airspeed of 200 m/s northward,and is in a wind of 50.0 m/s to the west.The plane's speed relative to the ground is

Vector Has a magnitude of 7.0 m and points 30° east of north.Vector Has a magnitude of 5.0 m and points 30° west of south.The resultant vector + Is given by

The eastward component of vector Is equal to the westward component of vector And their northward components are equal.Which one of the following statements must be correct for these two vectors?

The magnitude of Is 5.5 m,and this vector lies in the second quadrant and makes an angle of 34° with the +y-axis.The components of Are closest to

Four vectors, , , ,and ,are shown in the figure.The sum of these four vectors is a vector having magnitude and direction

Vector Has magnitude 2 units and is directed to the north.Vector Has magnitude And is directed to the south.Calculate the magnitude and direction of

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

The magnitude of a vector an only zero if all of its components are zero.

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 north.The resultant vector + Is given by

Two displacement vectors have magnitudes of 5.0 m and 7.0 m,respectively.If these two vectors are added together,the magnitude of the sum

If three vectors add to zero,they must all have equal magnitudes.

You walk 53 m to the north,then you turn 60° to your right and walk another Determine the direction of your displacement vector.Express your answer as an angle relative to east.

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?

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

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 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

You are traveling at 55 mi/h along the +x-axis relative to a straight,level road and pass a car that is traveling at 45 mi/h.The relative velocity of your car to the other car is

A boat,whose speed in still water is 8.0 m/s,crosses a river with a current of 6.0 m/s.If the boat heads perpendicular to the current,what is the speed of the boat relative to an observer standing on the shore as it crosses the river?

An airplane with an airspeed of 120 km/h has a heading of 30° east of north in a wind that is blowing toward the west at 30 km/h.What is the speed of the plane relative to the ground?

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

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