High School

A force of 150 N is exerted 22° east of north. What is the horizontal component of this force?

A. 120 N
B. -139 N
C. 56.19 N
D. 139 N

Answer :

The horizontal component of this force is approximately 139 N (option b).

To find the horizontal component of a force, you can use trigonometry. In this case, you have a force of 150 N at an angle of 22° east of north. You want to find the horizontal component, which is the side adjacent to the angle (θ). You can use the cosine function for this:

Horizontal component = Force × cos(θ)

Horizontal component = 150 N × cos(22°)

Now, calculate it:

Horizontal component = 150 N × cos(22°)

Horizontal component ≈ 150 N × 0.9271

Horizontal component ≈ 139 N

Rounded to two decimal places, the horizontal component of this force is approximately 139 N.

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