A "mouse" is a device for pulling cable inside a pipe. As shown in the sketch, it consists of a solid cylinder of length L and having a radial clearance distance h between the cylinder and the inside of the pipe that is much smaller than the pipe's inside diameter D. When a fluid is pumped through the pipe at a mean speed , the mouse will move at a slower speed Vm while exerting a tension T on the cable. Consider the case where the mouse is stationary (Vm = 0) and the flow may be considered incompressible and inviscid. Derive expressions for (a) the velocity Vh in the clearance annulus and (b) the pressure change pi - Ps between the sections 1 and 3 shown in the sketch. (c) By utilizing the linear momentum theorem, derive an expression for the tension T in the cable. (These expressions should contain only the known parameters D, h, and the fluid density .)