Consider the flow past a slender sharp cone with a 7-degree half-angle (a 14-deg. included angle). The base of the cone is flat, and perpendicular to the axis. Let the freestream Mach number be greater than 1, and consider the air flow as a perfect gas. Since you don't have time to do detailed computational analysis, explain what physical phenomena you expect to see and how you would analyze them. Specifically, address the following questions: 1. Discuss the zero angle of attack case. (a) What happens in the flow as the Mach number increases? (b) What methods could be used to determine the surface pressure distribution? (c) How would you expect the accuracy of these methods to vary as you change the Mach number and half-angle? (d) For what part of the surface is the pressure most difficult to esti- mate? (e) How would you determine the heat transfer? (f) How might your results depend on altitude, scale, or Reynolds number? 2. Consider perfect-gas flow at a nominal Mach number of 4. (a) What happens in the flow as the angle of attack increases from 0 to 90 degrees? (b) How might you determine the lift and drag under these conditions? (} What accuracy might be expected from different approaches