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A block on an inclined plane has a mass of 10 kg and the angle of inclination is

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Question: A block on an inclined plane has a mass of 10 kg and the angle of inclination is 30 degrees. What is the force of friction if the coefficient of kinetic friction is 0.2?

Options:

  1. 5.88 N
  2. 6.67 N
  3. 7.84 N
  4. 8.00 N

Correct Answer: 5.88 N

Solution: 

The normal force N = mg * cos(θ) = 10 kg * 9.81 m/s² * cos(30°) ≈ 84.87 N. The force of friction Ff = μk * N = 0.2 * 84.87 N ≈ 16.97 N.

A block on an inclined plane has a mass of 10 kg and the angle of inclination is

Practice Questions

Q1
A block on an inclined plane has a mass of 10 kg and the angle of inclination is 30 degrees. What is the force of friction if the coefficient of kinetic friction is 0.2?
  1. 5.88 N
  2. 6.67 N
  3. 7.84 N
  4. 8.00 N

Questions & Step-by-Step Solutions

A block on an inclined plane has a mass of 10 kg and the angle of inclination is 30 degrees. What is the force of friction if the coefficient of kinetic friction is 0.2?
  • Step 1: Identify the mass of the block, which is 10 kg.
  • Step 2: Identify the angle of inclination, which is 30 degrees.
  • Step 3: Calculate the gravitational force (weight) acting on the block using the formula: weight = mass * gravity. Here, gravity is approximately 9.81 m/s².
  • Step 4: Calculate the weight: weight = 10 kg * 9.81 m/s² = 98.1 N.
  • Step 5: Calculate the normal force (N) using the formula: N = weight * cos(angle). Convert the angle to radians if necessary, but here we can use cos(30°) directly.
  • Step 6: Calculate cos(30°), which is approximately 0.866.
  • Step 7: Now calculate the normal force: N = 98.1 N * 0.866 ≈ 84.87 N.
  • Step 8: Identify the coefficient of kinetic friction (μk), which is 0.2.
  • Step 9: Calculate the force of friction (Ff) using the formula: Ff = μk * N.
  • Step 10: Substitute the values: Ff = 0.2 * 84.87 N ≈ 16.97 N.
  • Inclined Plane Dynamics – Understanding the forces acting on an object on an inclined plane, including gravitational force, normal force, and friction.
  • Friction – Calculating the force of friction using the coefficient of friction and the normal force.
  • Trigonometry in Physics – Applying trigonometric functions to resolve forces acting at an angle.
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