A 1.75 kg blcok is at rest on a ramp of height h. When the block is released, it slides without friction to the 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 kinetic friction μk = 0.640. Find h such that the block's speed after crossing the rough patch is 3.50 m/s.