Physics Olympiad #004 [Coin Slides On Slanted Surface]

An object of mass m is placed on an inclined plane with an angle θ to the horizontal. The coefficient of motion between the object and the inclined plane μ = tan θ. Initially the object has a speed v0 in the direction perpendicular to the x axis as seen in the picture. Determine the magnitude of the object's speed as a function of the angle θ. And, if the object has been moving for a long time, what is its speed?

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