If you were tasked with designing the arresting gear on a aircraft carrier used for the filming of Top Gun Maverick, the Arresting gear's principle of operation involves the use of high-strength cables. Aircraft wheels to allow aircraft to stop on short runways require the green line to be the length before the cables are hooked up by the aircraft wheels. and the red line is the maximum length of the cable, as shown in the figure, if the aircraft to land on this carrier consists of the F-14 Tomcat mass 18190 kg, F/A-18E Super Hornet mass 14,550 kg and The F-35A Lightning II has a mass of 13,300 kg, respectively, and the coefficient of friction between the wheels and the runway ground() is (100-30)/200. (a) What is the initial velocity when the three planes touch down the runway with the cable hooked up to allow the aircraft to stop by arresting gear at a distance of 100 m? 180,000 newtons (b)If considering that the cable behaves like a spring What is the minimum spring stiffness (k) for this cable? So it can stop all 3 types of planes. 12.5 m 12.5 m RA 100 m Illustration of Arresting Gear System on Nimitz Class