As a new aerospace engineer, you are tasked to calculate the G-force acting on the pilot of a fighter jet aircraft during extreme turn maneuvers at the low-level altitude with a density of 1.2 kg/m. One of the maneuver is the pull-up maneuver at the maximum turn rate with a constant flight velocity. The G-force is a measure of acceleration due to the reaction force R acting on the body of the pilot, i.e., R = mG, where m is the mass of the pilot. The G-force is typically measured relative to the gravitational acceleration of 9.8 m/s (i.e., if G = 2g = 2 x 9.8 m/s) The aircraft has a thrust-to-weight ratio of 0.38 and a wing loading of 380 kg/m. Please answer the following questions: 1. Draw the aircraft's and the pilot's Free Body Diagram (FBD) and derive their Equation of Motions (EOM) during this maneuver, when the aircraft is at its full upward position. Derive the equations for the flight's Turn Radius R and Turn Rate w. (15 marks) 2. If the pilot experiences a G-force of 5g during this extreme maneuver and the minimum turn radius is 493 m, please calculate the turn velocity, the maximum load factor, the maximum turn rate, and the maximum lift coefficient of the aircraft. Please answer this question by first explaining the strategy on how you plan to calculate these values. (20 marks).