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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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