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A student wants to determine the coeffic...

A student wants to determine the coefficients of static frction and kinetic friciton between a box and a plank. She places the box on the plank and gradually raises on end on of the plank. When the angle of inclination with horizontal reaches `30^(@)` , the box stars to slip, and it then slides 2.5m dwon the plank in 4.0 s at constant acceleration. What are (a) the coefficient of static frictio and (b) the coefficient of kinetic friction between the box and the plank ?

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To solve the problem of determining the coefficients of static and kinetic friction between a box and a plank, we can follow these steps: ### Step 1: Analyze the Forces Acting on the Box When the box is on the inclined plank at an angle of \(30^\circ\), the forces acting on it are: - The weight of the box \(W = mg\) acting downwards. - The normal force \(N\) acting perpendicular to the surface of the plank. - The frictional force \(F_f\) acting parallel to the surface of the plank, opposing the motion. ...
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