Question

Figure 8-33 shows a 1.50 kg block 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 = 0.630. Find h such that the block's speed after crossing the rough patch is 3.20 m/s.