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A block of mass 10 kg is resting on a horizontal surface. If the coefficient of

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Question: A block of mass 10 kg is resting on a horizontal surface. If the coefficient of kinetic friction is 0.3, what is the frictional force acting on the block when it is sliding?

Options:

  1. 30 N
  2. 20 N
  3. 10 N
  4. 15 N

Correct Answer: 30 N

Solution: 

Frictional force (f_k) = μ_k * N = μ_k * mg = 0.3 * 10 kg * 9.8 m/s² = 29.4 N, approximately 30 N.

A block of mass 10 kg is resting on a horizontal surface. If the coefficient of

Practice Questions

Q1
A block of mass 10 kg is resting on a horizontal surface. If the coefficient of kinetic friction is 0.3, what is the frictional force acting on the block when it is sliding?
  1. 30 N
  2. 20 N
  3. 10 N
  4. 15 N

Questions & Step-by-Step Solutions

A block of mass 10 kg is resting on a horizontal surface. If the coefficient of kinetic friction is 0.3, what is the frictional force acting on the block when it is sliding?
Correct Answer: 30 N
  • Step 1: Identify the mass of the block, which is given as 10 kg.
  • Step 2: Identify the coefficient of kinetic friction, which is given as 0.3.
  • Step 3: Calculate the weight of the block (N), which is the force due to gravity. Use the formula: N = mass (m) * gravity (g). Here, g is approximately 9.8 m/s².
  • Step 4: Substitute the values into the formula: N = 10 kg * 9.8 m/s² = 98 N.
  • Step 5: Use the formula for frictional force (f_k): f_k = μ_k * N, where μ_k is the coefficient of kinetic friction.
  • Step 6: Substitute the values into the formula: f_k = 0.3 * 98 N.
  • Step 7: Calculate the frictional force: f_k = 29.4 N.
  • Step 8: Round the answer to the nearest whole number if needed: approximately 30 N.
  • Frictional Force Calculation – Understanding how to calculate the frictional force using the coefficient of kinetic friction and the normal force.
  • Normal Force – Recognizing that the normal force (N) is equal to the weight of the block when on a horizontal surface.
  • Units and Constants – Applying the correct units and constants, such as gravitational acceleration (9.8 m/s²) in calculations.
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