As shown in the figure below, a 2.25 kg block is released from rest on a ramp of height h

 

An illustration shows a block positioned a height h at the top of the vertical portion of a curved ramp. The ramp is oriented such that it curves downward from right to left, starting from an almost-vertical slope and then decreasing in slope magnitude until it is horizontal. The ramp is frictionless except for a horizontal 15.0 cm section at the bottom of the curve.

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 μ_k = 0.730.

Find h (in m) such that the block's speed after crossing the rough patch is 4.10 m/s. 

rough patch wimming 15.0 cm h i