A $40\, kg$ slab rests on a frictionless floor. A $10\, kg$ block rests on top of the slab (as shown in the figure). The coefficient of static friction $\mu_{s}$ between the block and the slab is $0.60$, whereas their kinetic friction coefficient $\mu_{k}$ is $0.40$. The $10 \,kg$ block is pulled by a horizontal force $(100.0\, N) \hat{i}$. The resulting accelerations of the block and slab will be
$\left(\right.$ Take $\left.g=10 \,m / s ^{2}\right)$