A reducing elbow in a horizontal pipe is used to deflect water flow by an angle $45$ from the flow direction while accelerating it$.$ The mass flow rate through the pipe $m^{}=31\mathrm{.}6k\frac{g}{s}.$ The elbow discharges water into the atmosphere. The cross$-$sectional area of the elbow is $A_1=141c{m}^2$ at the inlet and $A_2=25c{m}^2$ at the exit. The elevation difference between the centers of the exit and the inlet is $h=43\mathrm{.}0cm.$ The mass of the elbow and the water in it is $53$ kg$.$ Determine the magnitude of the anchoring force in Newton needed to hold the elbow in place. Take the momentum$-$flux correction factor to be $1\mathrm{.}16$ at both the inlet and outlet. Take the density of water to be $1000k\frac{g}{m^3}.$