A block of mass \(m\) rests on top of a slab of mass \(M\), where \(M > m\), which is positioned on a frictionless horizontal floor. The coefficients of static and kinetic friction between the block and the slab are \(\mu_s\) and \(\mu_k\), respectively. A horizontal pulling force of magnitude \(F_{\text{bottom}}\) applied to the slab produces the maximum acceleration the system can achieve without the block slipping relative to the slab, whereas a horizontal pulling force of magnitude \(F_{\text{top}}\) applied to the block produces the maximum acceleration achievable without slip. Which of the following expressions represents the difference \(\Delta F = F_{\text{bottom}} - F_{\text{top}}\) in terms of the given quantities and fundamental constants?