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Force Vector Practice

Total questions: 30

Worksheet time: 45mins

Name
Class
Date
1.

A woman is trying to train her fox terrier to properly walk on a leash. However, her dog is continuously pulling with a force of 70 N at an angle of 30 degrees. Find the x and y components of the applied force.

a)

Fx = 30 N

Fy = 61 N

b)

Fx = 50 N

Fy = 40 N

c)

Fx = 70 N

Fy = 82 N

d)

Fx = 61 N

Fy = 35 N

2.

George is parasailing. He sits in a seat harness attached to a speedboat by a tow rope. The rope has a tension force of 331 N, and the rope is at an angle of 61.7 degrees above horizontal. Find the x and y components of the applied force.

a)

Fx = 180 N

Fy = 290 N

b)

Fx = 150 N

Fy = 254 N

c)

Fx = 211 N

Fy = 380 N

d)

Fx = 157 N

Fy = 291 N

3.

Calculate the magnitude and angle of the vector.

a)

Fr = 135 N

θ=57°

b)

Fr = 86 N

θ=27°

c)

Fr = 206 N

θ=75°

d)

Fr = 173 N

θ=65°

4.
Which statement describes a vector?
a)
It has magnitude but no direction
b)
It has direction but no magnitude
c)
It has both direction and magnitude
d)
It has constant magnitude but no
 direction
5.
Is this a scalar quantity or a vector quantity?
A deer running 15 meters per second due west
a)
Scalar
b)
Vector
6.
Which of these is not a vector quantity? 
a)
displacement 
b)
time
c)
velocity 
d)
acceleration
7.
Which of the following quantities are vectors?
a)
speed, velocity, acceleration
b)
velocity, acceleration, force
c)
force, acceleration, mass
d)
length, mass, time
8.
The _______ of two or more vectors is the sum of the vectors.
a)
components
b)
scalar
c)
resultant
d)
magnitude
9.
What is the net force?
100 N        230 N
<------        --------->
a)
30 N to the right
b)
230 N to the right
c)
130 N to the right
d)
This is a balanced force
10.
What is the SI unit of measurement for force?
a)
lbf
b)
Kilograms
c)
Newtons
d)
m/sec^2
11.
What is the x component of the vector given in the diagram?
a)
77N
b)
92N
c)
120N
d)
60N
12.
What is the y component of the vector given in the diagram?
a)
77N
b)
92N
c)
120N
d)
60N
13.

Imagine you're a superhero and you have two vectors as your superpowers. What would be the result if you combine these two superpowers?

a)

+5

b)

-5

c)

+15

d)

-15

14.

Imagine you're a superhero, and you've just thrown a super punch! The force of your punch creates a vector, r. Can you tell us the magnitude of this super punch?

a)

3

b)

4

c)

5

d)

7

15.

Let's go on a treasure hunt! You found a treasure chest, but it's locked with a magical lock. The key to open it is the magnitude. Can you find it?

a)

0

b)

5

c)

-5

d)

4

16.

Solve the sum:

a)
b)
c)
d)
17.

Are the forces labeled in the picture correct?

a)

Yes

b)

No

18.

When you rub your hands together, which force is acting?

a)

Skin resistance

b)

Air resistance

c)

Gravity

d)

Friction

19.

What is magnitude?

a)

The direction that describes a quantity.

b)

A numerical value

c)

A unit of force

20.

Vector F in the x-component is ....

a)

F sin 30o

b)

F cos 30o

c)

F sin 60o

d)

F tan 60o

21.

Vector F in the y-component is ....

a)

F sin 30o

b)

F cos 30o

c)

F cos 60o

d)

F tan 30o

22.

The three forces act on the post as shown. What quadrant is the resultant force directed at?

a)

First quadrant

b)

Second quadrant

c)

Third quadrant

d)

Fourth quadrant

23.
The _______ of two or more vectors is the sum of the vectors.
a)
components
b)
scalar
c)
resultant
d)
magnitude
24.
Which statement describes a vector?
a)
It has magnitude but no direction
b)
It has direction but no magnitude
c)
It has both direction and magnitude
d)
It has constant magnitude but no
 direction
25.

Check out this super cool vector (☞゚ヮ゚)☞

Calculate the horizontal component of the velocity

a)

69 m/s

b)

20 m/s

c)

35 m/s

d)

23 m/s

26.
What is the x component of the vector given in the diagram?
a)
77N
b)
92N
c)
120N
d)
60N
27.

Determine the components of the following vectors.

a)

Cx = 10.4 m

Cy = 6 m

b)

Cx = 6 m

Cy = 10.4 m

c)

Cx = 6.2 m

Cy = 29.3 m

d)

Cx = 29.3 m

Cy = 29.3 m

28.

Determine the components of the following vectors.

a)

Cx = 10.9 m

Cy = 43.7 m

b)

Cx = 43.7 m

Cy = 10.9 m

c)

Cx = 9.9 m

Cy = 9.9 m

d)

Cx = 29.3 m

Cy = 29.3 m

29.

A helicopter flies 250 km on a straight path in a direction 60° south of east. The east component of the helicopter’s displacement is  (a)   km.

30.

For the following vector addition diagrams, use Pythagorean Theorem to determine the magnitude of the resultant.

a)

R = 7 m

b)

R = 25 m

c)

R = 5 m

d)

R = 2.5 m