As shown in the figure below, a 2.25 kg block is released from 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 15.0 cm that has a coefficient of kinetic friction μk = 0.550. Find h (in m) such that the block's speed after crossing the rough patch is 2.90 m/s. (Enter a number.) m