Frictional Track

0.5 kg block slides from the points A on a horizontal track with an initial speed of 3 m/s towards a weightless horizontal spring of length 1 m and force constant of 2 N/m. The part AB of the track is frictionless and the part BC has coefficient of static and kinetic friction as 0.22 and 0. 2 respectively. Find the total distance through which the block movez before it comes to rest. Length of AB is 2 m and that of BD is 2.14 m.

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