Problem $2$

A method for cutting metal plates uses a high$-$velocity water jet which carries an abrasive powder.

The jet issues from the $0\mathrm{.}25-mm-$diameter nozzle at A and follows the path shown through the

thickness $t$ of the plate. The fluid flows at a rate of $2{10}^{-3}\frac{m^3}{m}in$ and has a density of $1100k\frac{g}{m^3}.$

The water leaves the bottom of the plate with a velocity which is $60\%$ of the velocity at A $.$ Calculate,

first with letters, and with numbers at the end:

$($a$)$ The speed of the fluid at point $A.$

$($b$)$ The horizontal force required to hold the plate against the jet.

$($c$)$ The vertical force required to hold the plate against the jet.