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A 1.75-kg block is at rest on a ramp of height h. When the block is released, it slides without friction tothe bottom of the ramp, and then continues across a surface that is frictionless except for a rough patch of width 10.0 cm that has a coefficient of kinuetic friction u=0.640. Find h such that the block's speed after crossing the rough patch is 3.50 m/s.

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