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A block of mass 5 kg is resting on a horizontal surface. If the coefficient of s

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Question: A block of mass 5 kg is resting on a horizontal surface. If the coefficient of static friction is 0.4, what is the maximum static frictional force acting on the block?

Options:

  1. 10 N
  2. 20 N
  3. 15 N
  4. 25 N

Correct Answer: 20 N

Solution: 

Maximum static frictional force (Fs) = μs * N = μs * mg = 0.4 * (5 kg * 10 m/s²) = 20 N.

A block of mass 5 kg is resting on a horizontal surface. If the coefficient of s

Practice Questions

Q1
A block of mass 5 kg is resting on a horizontal surface. If the coefficient of static friction is 0.4, what is the maximum static frictional force acting on the block?
  1. 10 N
  2. 20 N
  3. 15 N
  4. 25 N

Questions & Step-by-Step Solutions

A block of mass 5 kg is resting on a horizontal surface. If the coefficient of static friction is 0.4, what is the maximum static frictional force acting on the block?
  • Step 1: Identify the mass of the block, which is given as 5 kg.
  • Step 2: Identify the coefficient of static friction, which is given as 0.4.
  • Step 3: Calculate the weight of the block (N), which is the force due to gravity. Use the formula: N = mass * gravity. Here, gravity is approximately 10 m/s².
  • Step 4: Calculate the weight: N = 5 kg * 10 m/s² = 50 N.
  • Step 5: Use the formula for maximum static frictional force: Fs = μs * N.
  • Step 6: Substitute the values into the formula: Fs = 0.4 * 50 N.
  • Step 7: Calculate the maximum static frictional force: Fs = 20 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 frictional force to the normal force.
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