$1.$ Atwood's MachineA block of mass m$,=2\mathrm{.}00$ kg hangs from one end of a long rope that passesover $400$ kg lie aded tricoles pulled of themenish on missfigure below. There is no friction between the rope and the pulley so the tension in the rope is the same all over the rope. The system is released fromrest at t $=0.($a$)$ What is the acceleration of the $4\mathrm{.}00-$kg block after the system is released from rest?$($b$)$ What is the tension in the rope after the system is released from rest?$($c$)$ How far from its initial position will the $4\mathrm{.}00-$kg block be at t $=2\mathrm{.}00$ s$?$