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 elbow discharges water into the atmosphere. The cross$-$sectional area of the elbow is $150$ cm$2$ at the inlet and $25$ cm$2$ at the exit. The elevation difference between the centers of the exit and the inlet is $40$ cm$.$ The mass of the elbow and the water in it is $51$ kg$.$ Determine the anchoring force needed to hold the elbow in place. Take the momentum$-$flux correction factor to be $1\mathrm{.}03$ at both the inlet and the outlet. The density of water is $1000$ kg$/$m$3,$ and the flow rate of water is $30$ kg$/$s$.$

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The anchoring force needed to hold the elbow in place is kN$.$

The resultant direction of force is $.$