Two blocks, A and $B,$ are attached to one another by a rope that passes over a frictionless pulley as shown in the figure; the mass of block $A$ is $2$ kg and the mass of block $B$ is $4$ kg $.$ The coefficient of kinetic friction between the block A and the surface is $0\mathrm{.}22.$ The pulley can be modeled as a uniformly dense solid cylinder with a radius of $4\mathrm{.}5$ cm and a mass of $3$ kg $.$ What is the magnitude of the tension $($in N $)$ in the rope between block B and the pulley if $=56?$

$5\mathrm{.}46$