Far out in space, a mass m$1=145400\mathrm{.}0$ kg rocket and a mass m$2=243600\mathrm{.}0$ kg rocket are docked at opposite ends of a motionless $71\mathrm{.}0$m long connecting tunnel. The tunnel is rigid and has a mass of $12600\mathrm{.}0$kg$.$

How far from the $145400\mathrm{.}0-$kg rocket is the center of mass? $4\mathrm{.}42101$ m

The rockets start their engines simultaneously, each generating $45320\mathrm{.}0$N of thrust in opposite directions. What is the structure's angular velocity after $23\mathrm{.}8$s$?$