Two crates connected by a rope lie on a horizontal surface (Fig. E5.37). Crate $A$ has mass $m_{A}$, and crate $B$ has mass $m_{B}$. The coefficient of kinetic friction between each crate and the surface is $\mu_{\mathrm{k}} .$ The crates are pulled to the right at constant velocity by a horizontal force $\overrightarrow{\boldsymbol{F}}$. Draw one or more free-body diagrams to calculate the following in terms of $m_{A}, m_{B},$ and $\mu_{\mathrm{k}}:$ (a) the magnitude of $\overrightarrow{\boldsymbol{F}}$ and $(\mathrm{b})$ the tension in the rope connecting the blocks.