A force of 36 N pushes a box that is 12.2 kg. The box is sliding horizontally 2.6 m/s to the left. What is the coefficient of friction? (Could you draw a Force Diagram?)

Respuesta :

The coefficient of friction on the box sliding to the left is 0.3.

The given parameters;

  • applied force , F = 36 N
  • mass of the box, m = 12.2 kg
  • velocity of the box, v = 2.6 m/s

The acceleration of the box is calculated as follows;

[tex]F = ma\\\\a = \frac{36}{12.2} \\\\a = 2.95 \ m/s^2[/tex]

The coefficient of friction on the box is calculated as follows;

[tex]\mu_k = \frac{a}{g} \\\\\mu_k = \frac{2.95}{9.8} \\\\\mu_k = 0.3[/tex]

Thus, the coefficient of friction on the box is 0.3.

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