Retarding Force Block Speed

A block of mass 1 kg, moving along x with speed v_i = 10 m/s enters a rough region ranging from x = 0.1 m to x = 1.9 m. The retarding force acting on the block in this range is F_r = –kx N, with k = 10 N/m. Then the final speed of the block as it crosses rough region is

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