$\backslash (\backslash$boldsymbol$\{$X$\}\backslash )$ Incorrect

One of the most advanced methods for cutting metal plates uses a high$-$velocity water jet which carries an abrasive garnet powder. The jet issues from the $0\mathrm{.}009-$in$.-$diameter nozzle at $\backslash ($ A $\backslash )$ and follows the path shown through the thickness $\backslash ($ t $\backslash )$ of the plate. As the plate is slowly moved to the right, the jet makes a narrow precision slot in the plate. The water$-$abrasive mixture is used at the low rate of $0\mathrm{.}48\backslash (\backslash$mathrm$\{$gal$\}/\backslash$mathrm$\{$min$\}\backslash )$ and has a specific weight of $\backslash (66\mathrm{.}9\backslash$mathrm$\{$lb$\}/\backslash$mathrm$\{$ft$\}^\{3\}\backslash ).$ Water issues from the bottom of the plate with a velocity which is $70$ percent of the impinging nozzle velocity. Calculate the horizontal force F required to hold the plate against the jet. $($There are $231$ in$.\backslash (\{\}^\{3\}\backslash )$ in $1$ gal.$)$