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Paul is pushing the couch up the ramp into the moving truck at a constant velocity. If he pushes with a force of 241 N directly to the right (not at any angle), what is the coefficient of kinetic friction? The mass of the couch is 36.3 kg.

Answer :

The coefficient of kinetic friction can be calculated by dividing the frictional force by the normal force. In this case, the frictional force is 241 N and the normal force can be calculated using the weight of the couch. By substituting the values into the formula, the coefficient of kinetic friction is approximately 0.683.

The coefficient of kinetic friction can be determined using the formula:

frictional force = coefficient of kinetic friction × normal force

In this case, the normal force is equal to the weight of the couch, which is given by the formula:

normal force = mass × acceleration due to gravity

Substituting the values into the formulas, we can calculate the coefficient of kinetic friction.

Using a force of 241 N and a mass of 36.3 kg for the couch, the coefficient of kinetic friction is calculated as:

  • coefficient of kinetic friction = frictional force / normal force
  • coefficient of kinetic friction = 241 N / (36.3 kg × 9.8 m/s^2)
  • coefficient of kinetic friction ≈ 0.683

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