Two blocks are connected by an ideal string that runs over an ideal pulley. Block $1$ hangs from the string and Block $2$ is on a rough surface, as shown below. Block $2$ is also being pulled by a second rope. Block $2$ is initially sliding to the left with a speed of $1\mathrm{.}7$ m$/$s $.$

The weights of Blocks $1$ and $2$ are $12$ N and $25$ N$,$ respectively. The tension in the second rope, to the right of Block $2,$ is $16$ N and is directed $18\backslash$deg above the horizontal. The coefficients of static and kinetic friction between the Block $2$ and the surface are $0\mathrm{.}48$ and $0\mathrm{.}33,$ respectively.