A force of 50 N is applied at an angle of 60° to the horizontal. What is the hor

Practice Questions

Q1
A force of 50 N is applied at an angle of 60° to the horizontal. What is the horizontal component of the force? (2020)
  1. 25 N
  2. 50 N
  3. 43.3 N
  4. 30 N

Questions & Step-by-Step Solutions

A force of 50 N is applied at an angle of 60° to the horizontal. What is the horizontal component of the force? (2020)
  • Step 1: Identify the total force applied, which is 50 N.
  • Step 2: Identify the angle at which the force is applied, which is 60°.
  • 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 = 50 N × cos(60°).
  • Step 5: Calculate cos(60°), which is 0.5.
  • Step 6: Multiply 50 N by 0.5: 50 N × 0.5 = 25 N.
  • Step 7: The horizontal component of the force is 25 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 based on the angle given.
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