Applied Hydraulics #$3\mathrm{.}3\mathrm{.}7.$

A $1-$m$-$diameter pipe is carrying $1\frac{m^3}{s}$ of water in a positive $x-$direction and passes through a $90$ bend into the positive $y-$direction $($Figure P$3\mathrm{.}3\mathrm{.}6).$ Entrance and exit pressures in the bend are measured in water column heights of $42$ and $41m.$ Determine the magnitude and direction of the bend's reaction force $(F).$