If a force of 10 N is applied at an angle of 30 degrees to the horizontal, what

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Question: If a force of 10 N is applied at an angle of 30 degrees to the horizontal, what is the horizontal component of the force?

Options:

Correct Answer: 8.66 N

Solution:

The horizontal component is calculated as 10 N * cos(30°) = 8.66 N.

If a force of 10 N is applied at an angle of 30 degrees to the horizontal, what is the horizontal component of the force?

If a force of 10 N is applied at an angle of 30 degrees to the horizontal, what is the horizontal component of the force?

Step 1: Understand that we have a force of 10 N applied at an angle of 30 degrees.
Step 2: Recognize that we need to find the horizontal component of this force.
Step 3: Use the cosine function because we are looking for the horizontal part of the force.
Step 4: Write the formula for the horizontal component: Horizontal Component = Force * cos(angle).
Step 5: Plug in the values: Horizontal Component = 10 N * cos(30 degrees).
Step 6: Calculate cos(30 degrees). The value of cos(30 degrees) is approximately 0.866.
Step 7: Multiply 10 N by 0.866: 10 N * 0.866 = 8.66 N.
Step 8: Conclude that the horizontal component of the force is 8.66 N.

Vector Resolution – The process of breaking down a force into its horizontal and vertical components using trigonometric functions.
Trigonometric Functions – Understanding how to apply cosine to find the horizontal component of a force at an angle.