Water (at 10°C) flows in a duct as shown. The inlet water velocity is V₁ = 25 m/s. The cross-sectional area of the duct is 0.1 m². Water is injected normal to the duct wall at the rate of 500 kg/s midway between stations 1 and 2. Neglect frictional forces on the duct wall. Calculate the differential pressure (p₁ – p₂) between stations 1 and 2.

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Vertical A = 0.10 m2 500 kg/s