Friction Physics Example 4

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Example 4

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A 12 kg12 \text{ kg} crate is pulled across a level floor at constant speed by a horizontal 29.4 N29.4 \text{ N} force. What is the coefficient of kinetic friction?

Solution

  1. 1
    Constant speed means the net horizontal force is zero, so the kinetic friction force is 29.4 N29.4 \text{ N}.
  2. 2
    On a level floor, the normal force is N=mg=12×9.8=117.6 NN = mg = 12 \times 9.8 = 117.6 \text{ N}
  3. 3
    Use fk=μkNf_k = \mu_k N, so μk=fkN=29.4117.6=0.25\mu_k = \frac{f_k}{N} = \frac{29.4}{117.6} = 0.25

Answer

μk=0.25\mu_k = 0.25
At constant speed, friction exactly balances the applied pull. Dividing the friction force by the normal force gives the coefficient of kinetic friction.

About Friction

A contact force that opposes the relative motion or tendency of motion between two surfaces in contact.

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