(a) The kinetic frictional force between the crate and the rough inclined surface is 240 N.
(b) The coefficient of kinetic frictional force (uk) between the crate and the rough inclined surface is 0.5.
Newton's second law of motion states that the force applied to an object is directly proportional to the acceleration of the object.
F = ma
Kinetic frictional force is the force that tends to oppose the object in motion.
F - Ff = ma
at constant velocity, a = 0
F - Ff = 0
Ff = F
Ff = 240 N
Ff = μmg x cosθ
240 = μ(50)(9.8) x cos(12)
240 = 479.29μ
μ = 240/479.29
μ = 0.5
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