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A 5 kg block is placed on a surface with a coefficient of static friction of 0.6

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Question: A 5 kg block is placed on a surface with a coefficient of static friction of 0.6. What is the maximum static friction force before the block starts to move?

Options:

  1. 30 N
  2. 20 N
  3. 15 N
  4. 25 N

Correct Answer: 30 N

Solution: 

Maximum static friction force = μs * N = 0.6 * (5 kg * 9.8 m/s²) = 29.4 N, approximately 30 N.

A 5 kg block is placed on a surface with a coefficient of static friction of 0.6

Practice Questions

Q1
A 5 kg block is placed on a surface with a coefficient of static friction of 0.6. What is the maximum static friction force before the block starts to move?
  1. 30 N
  2. 20 N
  3. 15 N
  4. 25 N

Questions & Step-by-Step Solutions

A 5 kg block is placed on a surface with a coefficient of static friction of 0.6. What is the maximum static friction force before the block starts to move?
Correct Answer: 30 N
  • Step 1: Identify the mass of the block, which is 5 kg.
  • Step 2: Identify the coefficient of static friction, which is 0.6.
  • Step 3: Calculate the weight of the block using the formula: Weight (N) = mass (kg) * gravity (m/s²). Here, gravity is approximately 9.8 m/s².
  • Step 4: Calculate the weight: 5 kg * 9.8 m/s² = 49 N.
  • Step 5: Use the formula for maximum static friction force: Maximum static friction force = coefficient of static friction (μs) * normal force (N).
  • Step 6: Substitute the values: Maximum static friction force = 0.6 * 49 N.
  • Step 7: Calculate the maximum static friction force: 0.6 * 49 N = 29.4 N.
  • Step 8: Round the answer to the nearest whole number if needed: approximately 30 N.
  • Static Friction – The force that resists the initiation of sliding motion between two surfaces in contact.
  • Normal Force – The perpendicular force exerted by a surface on an object resting on it, equal to the weight of the object in this case.
  • Coefficient of Static Friction – A dimensionless value that represents the ratio of the maximum static friction force to the normal force.
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