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A box weighing 300 N is pushed with a force of 150 N. If the coefficient of kine

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Question: A box weighing 300 N is pushed with a force of 150 N. If the coefficient of kinetic friction is 0.4, will the box move?

Options:

  1. Yes
  2. No
  3. Depends on the surface
  4. Not enough information

Correct Answer: No

Solution:

The force of kinetic friction Ff = μk * N = 0.4 * 300 N = 120 N. Since the applied force (150 N) is greater than the frictional force (120 N), the box will move.

A box weighing 300 N is pushed with a force of 150 N. If the coefficient of kine

Practice Questions

Q1
A box weighing 300 N is pushed with a force of 150 N. If the coefficient of kinetic friction is 0.4, will the box move?
  1. Yes
  2. No
  3. Depends on the surface
  4. Not enough information

Questions & Step-by-Step Solutions

A box weighing 300 N is pushed with a force of 150 N. If the coefficient of kinetic friction is 0.4, will the box move?
  • Step 1: Identify the weight of the box, which is given as 300 N.
  • Step 2: Identify the force applied to push the box, which is 150 N.
  • Step 3: Identify the coefficient of kinetic friction, which is given as 0.4.
  • Step 4: Calculate the normal force (N), which is equal to the weight of the box: N = 300 N.
  • Step 5: Calculate the force of kinetic friction (Ff) using the formula: Ff = μk * N.
  • Step 6: Substitute the values into the formula: Ff = 0.4 * 300 N.
  • Step 7: Calculate Ff: Ff = 120 N.
  • Step 8: Compare the applied force (150 N) with the frictional force (120 N).
  • Step 9: Since 150 N (applied force) is greater than 120 N (frictional force), the box will move.
  • Force of Friction – The force that opposes the motion of an object, calculated using the coefficient of kinetic friction and the normal force.
  • Net Force – The overall force acting on an object, determined by subtracting the force of friction from the applied force.
  • Newton's Second Law – The principle that states that the acceleration of an object is directly proportional to the net force acting on it and inversely proportional to its mass.
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