1.A small block of mass 3.5 kg starting from rest slides down on an incline plane of height 2.0 m, 40 degrees with respect to horizontal (Fig. 2). The coefficient of kinetic friction between the block and the incline plane is 0.25. At the end of the incline plane, the block hits the top of a hemispherical mound of ice (radius 1.0 m) , loses 75% of final kinetic energy (KE=0.5mv*v) before the collision, then slide down on the surface of ice. (a) Find the speed of the block at the bottom of the incline plane before and after the collision. (b) At what height above the ground does the block lose contact (normal force between the block and the ice equals to zero) with the ice? Hint, the speed of the block is too high to follow the curve of the ice (end of circular motion) .
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