Water (density 1000 kg/m3) flowing in a horizontal 25 cm diameter pipe at 8 m/s and 300 kPa gauge enters a 90 degree reducing bend which connects to a 15 cm diameter vertical pipe. Neglecting frictional and gravitational effects, determine the magnitude and direction of the force exerted on the reducer by the water. The momentum flux correction factor at inlet is 1.03 and at outlet it is 1.0.