A force of 30 N is applied at an angle of 60 degrees to the horizontal. What is

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Question: A force of 30 N is applied at an angle of 60 degrees to the horizontal. What is the horizontal component of the force?

Options:

Correct Answer: 20 N

Solution:

Horizontal component = F cos(θ) = 30 N × cos(60°) = 30 N × 0.5 = 15 N.

A force of 30 N is applied at an angle of 60 degrees to the horizontal. What is the horizontal component of the force?

A force of 30 N is applied at an angle of 60 degrees to the horizontal. What is the horizontal component of the force?

Step 1: Identify the total force applied, which is 30 N.
Step 2: Identify the angle of the force with respect to the horizontal, which is 60 degrees.
Step 3: Use the formula to find the horizontal component of the force: Horizontal component = F × cos(θ).
Step 4: Substitute the values into the formula: Horizontal component = 30 N × cos(60°).
Step 5: Calculate cos(60°), which is 0.5.
Step 6: Multiply 30 N by 0.5: 30 N × 0.5 = 15 N.
Step 7: Conclude that the horizontal component of the force is 15 N.

Force Components – Understanding how to resolve a force into its horizontal and vertical components using trigonometric functions.
Trigonometry in Physics – Applying cosine to find the horizontal component of a force when given an angle.