A block of mass m is initially held at rest at point P on an incline that makes an angle q with respect to horizontal. The coefficient of kinetic friction between the block and the incline is mk. After the block slides down the incline from point P, it starts to slide without friction up a vertical circular track of radius R. When it reaches the top of the circle, the normal force (downward) by the track to the block equals 50% mg. Find: (a) the speed of the block as it passes the top of the track; (b) the length L of the incline; (c) the net force exerted on the block when it is at point P, a distance R above the bottom of the track.
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