$($HW$,$ CH$6,$ HW$5)$

Three blocks are connected on the table as shown below. The coefficient of kinetic friction between the block of mass $m_2$ and the table is $0\mathrm{.}375.$ The objects have masses of $m_1=3\mathrm{.}75kg,m_2=1\mathrm{.}20kg,$ and $m_3=2\mathrm{.}20kg,$ and the pulleys are frictionless.

$($a$)$ Determine the acceleration of each object.

$($b$)$ Determine the tension in the two cords.