College

A 20 kg wagon is pulled up a 30° incline at an acceleration of [tex]2.5 \, \text{m/s}^2[/tex]. The force pulling the wagon is parallel to the incline and its value is [tex]182 \, \text{N}[/tex]. Determine the value of the coefficient of kinetic friction. [5]

Answer :

The value of the coefficient of kinetic friction between the wagon and inclined surface is 0.78.

Coefficient of the kinetic friction

The value of coefficient of kinetic friction is calculated as follows;

F - Ff = ma

F - μmgcosθ = ma

where;

  • F is applied force
  • μ is coefficient of kinetic friction
  • m is mass of the wagon
  • a is acceleration of the wagon

182 - μ(20 x 9.8 x cos30) = 20(2.5)

182 - 169.74μ = 50

182 - 50 = 169.74μ

132 = 169.74μ

μ = 132/169.74

μ = 0.78

Thus, the value of the coefficient of kinetic friction between the wagon and inclined surface is 0.78.

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