Oscillation on inline

A block of mass M = 1 kg is placed of a fixed rough incline of inclination \( \theta = \sin^{-1} \frac{7}{10} \) and coefficient of friction \( \mu = \frac{1}{ \sqrt{51}} \) connected to a spring of spring constant 100 N/m.
Initially the spring is in natural state with length = 10cm

If the block is left to move then find the final elongation in spring when block is completely at rest.

Express answer in cms

Take g= 10m/s^2


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