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Worksheets

Vectors

Total questions: 25

Worksheet time: 24mins

Name
Class
Date
1.

What is the direction of the displacement if someone walks 10 km east and then 7 km north?

a)

35 degrees north of east

b)

55 degrees north of east

c)

44 degrees north of east

d)

46 degrees north of east

2.

Which one of these does not show an example of Tip to Tail method?

a)
b)
c)
d)
3.

What is the net (resultant) force?

100 N 230 N

<------ --------->

a)

30 N to the right

b)

230 N to the right

c)

130 N to the left

d)

130 N to the right

4.

An airplane flies at 250 m/s to the east with respect to the air. The air is moving at 35 m/s to the north with respect to the ground. Find the resultant velocity of the plane with respect to the ground.

a)

252 m/s

b)

222 m/s

c)

435 m/s

d)

125 m/s

5.

What vector gives the sum of these two vectors?

a)
b)
c)
d)
6.

What is the sum of a vector addition problem called?

a)

components

b)

scalar

c)

resultant

d)

magnitude

7.
If a boomerang is thrown 20 m in a straight line and returns exactly to the spot it was thrown what is its displacement?
a)
20m
b)
40m
c)
0m
d)
-20m
8.
A hiker walks 5 kilometers due north and then 7 kilometers due east. What is the magnitude of the resultant vector?
a)
2 km
b)
8.6 km
c)
12 km
d)
12.6 km
9.

This vector has...

a)

one component (y)

b)

two components (x and y)

c)

one component (x)

d)

length and degrees

10.

In order to find the x-component of a vector with magnitute 7 m and angle 30° we will use the formula...

a)

cos (30)

b)

sin(30)

c)

7*sin(30)

d)

7*cos(30)

11.

Determine the magnitude of the x-component of the velocity vector launched at 13 m/s with 55° to the ground.

a)

10.64 m/s

b)

0.28 m/s

c)

7.45 m/s

d)

20 m/s

12.

How do you combine vectors if they are in opposite directions?

a)

Add

b)

Subtract (or add a negative)

c)

Pythagorean Theorem

d)

Use trigonometry

13.
A car travels 90 meters due north in 15 seconds. Then the car turns around and travels 40 meters due south.  What is the magnitude and direction  of the car's resultant displacement?  
a)
40 metres, South
b)
50 metres, South
c)
50 metres, North
d)
40 metres, North 
14.

What is the net (resultant) force?

a)

17 N Right

b)

3 N Right

c)

3 N Left

d)

17 N Left

15.

A sailboat on a lake sails 40. meters north, turns, and

then sails 40. meters due east. Compared to its

starting position, the new position of the sailboat

is

a)

40. m due east

b)

57 m due southwest

c)

57 m northeast

d)

80. m northeast

16.

Which pair of quantities represent scalar

quantities?

a)

displacement and velocity

b)

displacement and time

c)

energy and velocity

d)

energy and time

17.

A rope attached to a 500.-kilogram crate is used to exert a force of 45 newtons at an angle of 65 degrees above the

horizontal. The vertical component of the force acting

on the crate is

a)

19 N

b)

41 N

c)

210 N

d)

450 N

18.

Two 20.-newton forces act concurrently on an object. What angle between these forces will produce a resultant force with the greatest magnitude?

a)

b)

45º

c)

90.º

d)

180.º

19.

The map below shows the route traveled by a school bus. What is the magnitude of the total displacement of the school bus from the start to the end of its trip?

a)

400 m

b)

500 m

c)

800 m

d)

1,800 m

20.

A displacement vector with a magnitude of 20. meters could have perpendicular components with magnitudes of

a)

10. m and 10. m

b)

12 m and 8.0 m

c)

12 m and 16 m

d)

16 m and 8.0 m

21.

The vector diagram below represents the horizontal component, FH, and the vertical component, FV, of a 24-newton force acting at 35° above the horizontal.

a)

FH = 3.5 N and FV = 4.9 N

b)

FH = 4.9 N and FV = 3.5 N

c)

FH = 14 N and FV = 20. N

d)

FH = 20. N and FV = 14 N

22.

The diagram below represents a force vector, A and resultant vector, R.Which force vector B below could be added to force vector A to produce resultant vector, R.

a)
b)
c)
d)
23.

What is the resultant of the two vectors shown above?

a)

+5

b)

-5

c)

+15

d)

-15

24.

As the angle between two concurrent forces of 6.0 Newtons and 8.0 Newtons decreases from 180 to 0 degrees, its resultant changes between the values of

a)

0.0 N to 48. N

b)

48. N to 0.0 N

c)

14.0 N to 2.0 N

d)

2.0 N to 14.0 N

25.

The diagram presented here represents a force acting on point P. Which diagram of pair of concurrent forces would properly represent that force as a resultant?

a)
b)
c)
d)