Shown in the figure below is a block and track system. All locations indicated by solid black lines are frictionless. The region indicated by the tan hash is a patch of friction with coefcient #k = 0.1?0. A small block of mass m = 0.82 kg is initially compressed against a spring. The spring constant is k = 234.4 me and the initial compression is X! = 0.25 meters. After the mass leaves the spring it climbs up the hill of height 593 = 0.53 meters and eventually slides to a stop after entering the frictional patch. Calculate all the following: The velocity of the mass after it leaves the spring but before it climbs the hill, v2 = E mfs The velocity of the mass at the top of the hill, v3 = |:| mfs The distance the mass slides onto the frictional area, d = :l meters

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