Air flows past an object in a pipe of 2-m diameter and exits as a free jet as shown in the figure.The velocity and pressure upstream are uniform at 10

m/s and 50 N/m2, respectively at the pipe exit the velocity is non uniform as indicated. The shear stress along the pipe wall is negligible.(p = 1kg/m3) ) Verify conservation of mass with the velocity profiles before and after the obstruction.(5pts) (b) Determine the force that the air exerts on the object (10pts) (c) Determine the head loss (energy loss) between the uniform velocity upstream of theobject to the exit plane of the pipe. (15pts)

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