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A 100 kg crate is resting on a horizontal surface. If the coefficient of static

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Question: A 100 kg crate is resting on a horizontal surface. If the coefficient of static friction is 0.5, what is the maximum static friction force?

Options:

  1. 490 N
  2. 500 N
  3. 510 N
  4. 520 N

Correct Answer: 500 N

Solution: 

The maximum static friction force Ff = μs * N = 0.5 * (100 kg * 9.81 m/s²) = 490.5 N.

A 100 kg crate is resting on a horizontal surface. If the coefficient of static

Practice Questions

Q1
A 100 kg crate is resting on a horizontal surface. If the coefficient of static friction is 0.5, what is the maximum static friction force?
  1. 490 N
  2. 500 N
  3. 510 N
  4. 520 N

Questions & Step-by-Step Solutions

A 100 kg crate is resting on a horizontal surface. If the coefficient of static friction is 0.5, what is the maximum static friction force?
  • Step 1: Identify the mass of the crate, which is 100 kg.
  • Step 2: Understand that the coefficient of static friction (μs) is given as 0.5.
  • Step 3: Calculate the weight of the crate (N), which is the force due to gravity. Use the formula: N = mass * gravity. Here, gravity is approximately 9.81 m/s².
  • Step 4: Calculate the weight: N = 100 kg * 9.81 m/s² = 981 N.
  • Step 5: Use the formula for maximum static friction force: Ff = μs * N.
  • Step 6: Substitute the values into the formula: Ff = 0.5 * 981 N.
  • Step 7: Calculate the maximum static friction force: Ff = 490.5 N.
  • Static Friction – Static friction is the force that must be overcome to start moving an object at rest. It is calculated using the coefficient of static friction and the normal force.
  • Normal Force – The normal force is the force exerted by a surface to support the weight of an object resting on it, acting perpendicular to the surface.
  • Coefficient of Static Friction – The coefficient of static friction (μs) is a dimensionless value that represents the ratio of the maximum static friction force to the normal force.
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