1. Your boss wants to modify an aircraft by stretching the fuselage, but only forward of the cg, by a length al. The fuselage has a circular cross section of diameter d. Estimate how much you need to increase the planform area of the horizontal stabilizer to maintain the same static margin in pitch. Assume for simplicity no change in the cg location.
2. Assuming for simplicity constant specific heats, estimate the stagnation temperature on a spacecraft entering Earth's atmosphere. List your assumptions. At that temperature, what is the rate of heat loss per unit area from radiation, assuming blackbody radiation?
3. What color would the temperature in Problem (2) correspond to?