Water flows through the pipe reducer shown in Figure $1.$ The diameters at sections $1$ and $2$ are $750$ mm and $500$ mm $.$ At the larger end the pressure is $750$ kPa and the velocity is $\backslash (2\mathrm{.}8\backslash$mathrm$\{$~m$\}/\backslash$mathrm$\{$s$\}\backslash ).$ Neglecting friction, find the resultant force on the horizontal conical reducer $($between sections $1$ and $2)$ if water flows $($a$)$ to the right; $($b$)$ to the left.

Figure $1$: Schematic for Problem $1$