A $2$ $kg$ mass connected to a horizontal spring of stiffness $1015$ $N/m$ has a dry-sliding friction force, of $1$ $N$. The mass is displaced from equilibrium. As the mass oscillates, its amplitude decreases a total of $0.1$ $m$ until it finally stops moving. How long does this take from when the mass was initially released until it stops?

$t=$ $s$