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A person pushes a box with a force of 30 N, but the box does not move. If the co

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Question: A person pushes a box with a force of 30 N, but the box does not move. If the coefficient of static friction is 0.6, what is the maximum static friction force?

Options:

  1. 18 N
  2. 30 N
  3. 36 N
  4. 60 N

Correct Answer: 36 N

Solution: 

The maximum static friction force is equal to the applied force when the box does not move, which is 30 N.

A person pushes a box with a force of 30 N, but the box does not move. If the co

Practice Questions

Q1
A person pushes a box with a force of 30 N, but the box does not move. If the coefficient of static friction is 0.6, what is the maximum static friction force?
  1. 18 N
  2. 30 N
  3. 36 N
  4. 60 N

Questions & Step-by-Step Solutions

A person pushes a box with a force of 30 N, but the box does not move. If the coefficient of static friction is 0.6, what is the maximum static friction force?
  • Step 1: Understand that static friction is the force that keeps the box from moving when a force is applied.
  • Step 2: Know that the maximum static friction force can be calculated using the formula: Maximum Static Friction = Coefficient of Static Friction × Normal Force.
  • Step 3: In this case, the box does not move when a force of 30 N is applied, which means the static friction force is equal to the applied force.
  • Step 4: Therefore, the maximum static friction force is 30 N, since it matches the applied force.
  • Static Friction – Static friction is the force that must be overcome to start moving an object at rest. It acts in the opposite direction of the applied force.
  • 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 acting on an object.
  • Force Balance – When an object is at rest and not moving, the applied force is balanced by the static friction force, meaning they are equal in magnitude.
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