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ughschool
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-cosθ x m x a / sinθ = Uk?
How Do You Calculate the Coefficient of Kinetic Friction on a Ramp?
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To calculate the coefficient of kinetic friction (μk) on a ramp, start by analyzing the forces acting on the box as it slides down a 30° ramp with an acceleration of 1.20 m/s². The gravitational force can be split into components, with the force parallel to the ramp being m * g * sin(θ) and the normal force being m * g * cos(θ). Using Newton's second law, the net force can be expressed as the difference between the gravitational force down the ramp and the frictional force, leading to the equation -m * g * sin(θ) + μk * m * g * cos(θ) = -m * a. Rearranging this gives μk = (g * sin(θ) - a) / (g * cos(θ)). Substitute the known values to find μk.