Kinetic friction coefficient between package-rough section


A package is sliding from rest down an incline at an angle "phi", and encounters a rough section that starts at height "2h" and ends at height "h". The starting point for the package is at height "xh", and the kinetic friction coefficient between the package and the rough section is "mk".

a) For what minimum value of x (i.e. xmin) will the package make it all the way through the rough section without stopping?

b) Assuming the package has passed the rough section, what is its speed v at the bottom of the incline?

c) Compute xmin and v from parts (a) and (b) if angle"phi"=45 degrees, mk(coefficient of kinetic friction)=1.2, h=4m, and x=3

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Physics: Kinetic friction coefficient between package-rough section
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