$5.$three masses are connected by two ropes over frictionless pulley as shown in diagram

m$\_(1)=5$kg and hangs off the left side of a table and rests on a spring with spring constant k$\_(1)=200($N$)/($m$)$ and equilibrium length L$=0\mathrm{.}3$m$.$

Mass m$\_(2)=3$kg and sits on a table with coefficient of friction $\backslash$mu $\_($k$)=0\mathrm{.}5.$ The table has a height H$=1\mathrm{.}0$m$.$

Mass m$\_(3)=10$kg and hangs off the right side of the table, resting on a spring with spring constant k$\_(3)=100($N$)/($m$)$ and equilibrium length L$=0\mathrm{.}3$m$.$

The springs are initially at their equilibrium lengths.

Once released, m$\_(3)$ begins to fall, pulling m$\_(2)$ along the table and raising m$\_(1).$

For the following, if you need to calculate any work done, make sure to include free$-$body

diagrams to identify all of the forces.

a$.$ define system as three blocks. find distance m$\_(3)$ falls

before briefly coming to rest.

b$.$ define system as $3$ blocks, table, $2$ springs, and the earth, redo part a