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Check for Understanding: Force Vectors

Total questions: 10

Worksheet time: 14mins

Name
Class
Date
1.

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)

Is it me, or are these all the same?

2.

With a vector, what kind of information is carried by the positive and negative signs?

a)

the direction

b)

the size

c)

the math function

d)

the coordinates

3.

What sense does the vector have?

a)

down and right

b)

up and left

c)

up and right

d)

down and left

4.

Describe the sense of the vector.

a)

up and right

b)

down and right

c)

up and left

d)

down and left

5.

A snowboarder is pulled by a rope that exerts a force of 250 N at an angle of 30° above the horizontal. What are the horizontal and vertical components of the force?

SOH CAH TOA

a)
  • Fx = 216.5 N

  • Fy = 125.0 N

b)
  • Fx = 125.0 N

  • Fy = 216.5 N

c)
  • Fx = 250.0 N

  • Fy = 125.0 N

d)
  • Fx = 125.0 N

  • Fy = 62.5 N

6.

A construction crane pulls a load upward with a cable applying 500 N of force at an angle of 45° to the horizontal. What are the components of the force?

SOH CAH TOA

a)
  • Fx = 500 N

  • Fy = 0 N

b)
  • Fx = 353.6 N

  • Fy = 353.6 N

c)
  • Fx = 250 N

  • Fy = 433 N

d)
  • Fx = 433 N

  • Fy = 250 N

7.

A child pulls a sled with a rope that applies a force of 120 N at an angle of 40° above the horizontal. What is the y component of the force (Newtons)?

SOH CAH TOA

(a)  

8.

Two forces act on an object at a single point. One force has a magnitude of 50 N directed east, and the other has a magnitude of 30 N directed north. What is the magnitude of the resultant force (Newtons)?

(a)  

9.
a)

81 N

b)

88 N

c)

102 N

d)

110 N

10.

A rescue worker is using a rope to pull a stranded hiker up a slope. The rope applies a force of 60 N vertically upward and 80 N horizontally forward.

What is the angle of the resultant force above the horizontal?

a)

37⁰

b)

41⁰

c)

47⁰

d)

53⁰