The coefficient of kinetic friction between the chair and the floor is 0.442.
The given parameters;
The normal force on the chair is calculated as follows;
Fₙ = mg
Fₙ = 30 x 9.8 = 294 N
The frictional force between the chair and the floor is calculated as follows;
Fk = μFₙ
The net force on the chair is calculated as follows;
[tex]\Sigma F_x = 0\\\\F- \mu_k F_n = 0\\\\130 - \mu_k (294) = 0\\\\\mu_k = \frac{130}{294} \\\\\mu_k = 0.442[/tex]
Thus, the coefficient of kinetic friction between the chair and the floor is 0.442.
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