Question 1

Two perpendicular vectors, 
And 
,are added together giving vector 
.If the magnitudes of both vectors 
And 
Are doubled without changing their directions,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.

Question 2

The sum of two vectors of fixed magnitudes has the greatest magnitude when the angle between these two vectors is

Accepted Answer

A) 90°. 
B) 180°. 
C) 60°. 
D) 0°. 
E) 270°.

Question 3

A plane moving 200 m/s horizontally fires a projectile with speed 50 m/s in a forward direction 30.0° below the horizontal.At that instant,what is the speed of the projectile with respect to a stationary observer on the ground?

Accepted Answer

A) 245 m/s 
B) 250 m/s 
C) 268 m/s 
D) 293 m/s

Question 4

The components of vectors 
And 
Are given as follows: 
= -9.2 
= -4.5 
= -6.1 
= 4.3
The angle (less than 180°)between vectors 
And 
Is closest to

Accepted Answer

A) 77°. 
B) 103°. 
C) 10°. 
D) 170°. 
E) 84°.

Question 5

When Jeff ran up a hill at 7.0 m/s,the horizontal component of his velocity vector was 5.1 m/s.What was the vertical component of Jeff's velocity?

Accepted Answer

A) 4.8 m/s 
B) 4.3 m/s 
C) 3.8 m/s 
D) 3.4 m/s

Question 6

The x component of vector 
Is 8.7 units,and its y component is -6.5 units.The magnitude of 
Is closest to

Accepted Answer

A) 9.9 units. 
B) 7.9 units. 
C) 8.9 units. 
D) 11 units. 
E) 12 units.

Question 7

A plane flies directly from city A to city B,which are separated by 2300 mi.From A to B,the plane flies into a 65 mi/h headwind.On the return trip from B to A,the wind velocity is unchanged.The trip from B to A takes 
Less than the trip from A to B.What is the airspeed (assumed constant)of the plane relative to the air (that is,the airspeed)?

Accepted Answer

A) 530 mi/h 
B) 400 mi/h 
C) 480 mi/h 
D) 610 mi/h

Question 8

If 
+ 
= 
And their magnitudes are given by A + B = C,then the vectors 
And 
Are oriented

Accepted Answer

A) perpendicular relative to one other. 
B) parallel to each other (in the same direction). 
C) antiparallel to each other (in opposite directions). 
D) It is impossible to know from the given information.

Question 9

The magnitude of the resultant of two vectors cannot be less than the magnitude of either of those two vectors.

Accepted Answer

A) True 
 B)False

Question 10

A plane has an airspeed of 142 m/s.A 16 m/s wind is blowing southward at the same time as the plane is flying.If the velocity of the plane relative to the ground is directly eastward,what is the magnitude of that velocity?

Accepted Answer

A) 130 m/s 
B) 16 m/s 
C) 160 m/s 
D) 141 m/s 
E) 48 m/s

Question 11

The sum of two vectors of fixed magnitudes has its minimum magnitude when the angle between these vectors is

Accepted Answer

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

Question 12

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° east of north.The resultant vector 
+ 
Is given by

Accepted Answer

A) 0.70 m at an angle of 42° north of east. 
B) 14 m at an angle of 42° north of east. 
C) 1.1 m at an angle of 42° north of east. 
D) 9.7 m at an angle of 42° north of east. 
E) 2.0 m at an angle of 42° north of east.

Question 13

Vector 
Has a magnitude of 8.0 m and points 30° north of east;vector 
Has a magnitude of 6.0 m and points 30° west of north;and vector 
Has a magnitude of 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.

Question 14

A swimmer heading directly across a river that is 200 m wide reaches the opposite bank in 6 min 40 s.During this swim,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

Question 15

You walk 
To the north,then turn 60° to your right and walk another 
How far are you from where you originally started?

Accepted Answer

A) 68 m 
B) 39 m 
C) 75 m 
D) 35 m

Question 16

You are trying to cross a river that flows toward the 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) directly toward the west. 
B) directly toward the north. 
C) in a general southwesterly direction. 
D) in a general northwesterly direction.

Question 17

Three forces, 
1, 
2,and 
3,all act on an object,as shown in the figure.The magnitudes of the forces are: F1 = 80.0 N,F2 = 60.0 N,and F3 = 40.0 N.The resultant force acting on the object is given by

Accepted Answer

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

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 heading of the plane in order to move directly eastward 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

Question 19

If vector 
Has components Ax = -3.0 lb and Ay = -4.0 lb,and vector 
Has components Bx = 3.0 lb and By = -8.0 lb,what is the magnitude of vector 
= 
- 
?

Accepted Answer

A) 13 lb 
B) 16 lb 
C) 140 lb 
D) 7.2 lb

Question 20

A boy jumps with a velocity of magnitude 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

Exam 3: Vectors in Physics

Two perpendicular vectors, And ,are added together giving vector .If the magnitudes of both vectors And Are doubled without changing their directions,the magnitude of vector Will

The sum of two vectors of fixed magnitudes has the greatest magnitude when the angle between these two vectors is

A plane moving 200 m/s horizontally fires a projectile with speed 50 m/s in a forward direction 30.0° below the horizontal.At that instant,what is the speed of the projectile with respect to a stationary observer on the ground?

The components of vectors And Are given as follows: = -9.2 = -4.5 = -6.1 = 4.3 The angle (less than 180°) between vectors And Is closest to

When Jeff ran up a hill at 7.0 m/s,the horizontal component of his velocity vector was 5.1 m/s.What was the vertical component of Jeff's velocity?

The x component of vector Is 8.7 units,and its y component is -6.5 units.The magnitude of Is closest to

If + = And their magnitudes are given by A + B = C,then the vectors And Are oriented

The magnitude of the resultant of two vectors cannot be less than the magnitude of either of those two vectors.

A plane has an airspeed of 142 m/s.A 16 m/s wind is blowing southward at the same time as the plane is flying.If the velocity of the plane relative to the ground is directly eastward,what is the magnitude of that velocity?

The sum of two vectors of fixed magnitudes has its minimum magnitude when the angle between these vectors is

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° east of north.The resultant vector + Is given by

Vector Has a magnitude of 8.0 m and points 30° north of east;vector Has a magnitude of 6.0 m and points 30° west of north;and vector Has a magnitude of 5.0 m and points 30° west of south.The resultant vector + + Is given by

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

You walk To the north,then turn 60° to your right and walk another How far are you from where you originally started?

You are trying to cross a river that flows toward the 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

Three forces, ₁, ₂,and ₃,all act on an object,as shown in the figure.The magnitudes of the forces are: F₁ = 80.0 N,F₂ = 60.0 N,and F₃ = 40.0 N.The resultant force acting on the object is given by

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 heading of the plane in order to move directly eastward relative to the ground?

If vector Has components A_x = -3.0 lb and A_y = -4.0 lb,and vector Has components B_x = 3.0 lb and B_y = -8.0 lb,what is the magnitude of vector = - ?

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

Exam 3: Vectors in Physics

Two perpendicular vectors, And ,are added together giving vector .If the magnitudes of both vectors And Are doubled without changing their directions,the magnitude of vector Will

The sum of two vectors of fixed magnitudes has the greatest magnitude when the angle between these two vectors is

A plane moving 200 m/s horizontally fires a projectile with speed 50 m/s in a forward direction 30.0° below the horizontal.At that instant,what is the speed of the projectile with respect to a stationary observer on the ground?

The components of vectors And Are given as follows: = -9.2 = -4.5 = -6.1 = 4.3 The angle (less than 180°) between vectors And Is closest to

When Jeff ran up a hill at 7.0 m/s,the horizontal component of his velocity vector was 5.1 m/s.What was the vertical component of Jeff's velocity?

The x component of vector Is 8.7 units,and its y component is -6.5 units.The magnitude of Is closest to

If + = And their magnitudes are given by A + B = C,then the vectors And Are oriented

The magnitude of the resultant of two vectors cannot be less than the magnitude of either of those two vectors.

A plane has an airspeed of 142 m/s.A 16 m/s wind is blowing southward at the same time as the plane is flying.If the velocity of the plane relative to the ground is directly eastward,what is the magnitude of that velocity?

The sum of two vectors of fixed magnitudes has its minimum magnitude when the angle between these vectors is

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° east of north.The resultant vector + Is given by

Vector Has a magnitude of 8.0 m and points 30° north of east;vector Has a magnitude of 6.0 m and points 30° west of north;and vector Has a magnitude of 5.0 m and points 30° west of south.The resultant vector + + Is given by

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

You walk To the north,then turn 60° to your right and walk another How far are you from where you originally started?

You are trying to cross a river that flows toward the 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

Three forces, 1, 2,and 3,all act on an object,as shown in the figure.The magnitudes of the forces are: F1 = 80.0 N,F2 = 60.0 N,and F3 = 40.0 N.The resultant force acting on the object is given by

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 heading of the plane in order to move directly eastward relative to the ground?

If vector Has components Ax = -3.0 lb and Ay = -4.0 lb,and vector Has components Bx = 3.0 lb and By = -8.0 lb,what is the magnitude of vector = - ?

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

Three forces, ₁, ₂,and ₃,all act on an object,as shown in the figure.The magnitudes of the forces are: F₁ = 80.0 N,F₂ = 60.0 N,and F₃ = 40.0 N.The resultant force acting on the object is given by

If vector Has components A_x = -3.0 lb and A_y = -4.0 lb,and vector Has components B_x = 3.0 lb and B_y = -8.0 lb,what is the magnitude of vector = - ?