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In the position shown in figure, the spr...

In the position shown in figure, the spring is at its natural length. The block of mass `m` is given a velocity `v_0` towards the vertical support at `t=0`. The coefficient of friction between the block and the surface is given by `mu=alphax`, where `alpha` is a positive constant and x is the position of the block from its starting position. The block comes to rest for the first time at x, which is

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