Air flows past an object in a 2-m-diameter pipe and exits as a free jet as shown in Fig....

Air flows past an object in a 2-m-diameter pipe and exits as a free jet as shown in Fig. P5.67. The velocity and pressure upstream are uniform at 10 m/s and 50 N/m², respectively. At the pipe exit the velocity is nonuniform as indicated. The shear stress along the pipe wall is negligible. (a) Determine the head loss associated with a particle as it flows from the uniform velocity upstream of the object to a location in the wake at the exit plane of the pipe. (b) Determine the force that the air puts on the object.