A $3-$cm$-$dlameter vertical water Jet is injected upward by a nozzle at a speed of $\backslash (15\backslash$mathrm$\{$~m$\}/\backslash$mathrm$\{$s$\}\backslash ).$ Determine the maximum welght of a flat plate that can be supported by this water Jet at a height of $2$ m from the nozzle. Take the density of water to be $\backslash (1000\backslash$mathrm$\{$~kg$\}/\backslash$mathrm$\{$m$\}^\{3\}\backslash ).$

The maximum weight of a flat plate that can be supported by the water jet is

$*$ N $.$