Watching the excellent movie Top Gun: Maverick , you are impressed by the cables used to stop the fighter planes on the aircraft carrier. You would like to model the tension in the cable needed to stop the plane, so that you can choose a type of cable that can withstand this tension. Constraints The mass of the fighter plane and its initial speed are known. The length of the airstrip is known. The force exerted by the cable is assumed to be constant. It is assumed that a single cable stops the aircraft by exerting a horizontal force perfectly opposed to the movement of the aircraft. Modelization
Top Gun
Context
Watching the excellent movie Top Gun: Maverick , you are impressed by the cables used to stop the fighter planes on the aircraft carrier. You would like to model the tension in the cable needed to stop the plane, so that you can choose a type of cable that can withstand this tension.
Constraints
The mass of the fighter plane and its initial speed are known.
The length of the airstrip is known.
The force exerted by the cable is assumed to be constant. It is assumed that a single cable stops the aircraft by exerting a horizontal force perfectly opposed to the movement of the aircraft.
Modelization
Model the modulus of force exerted by a cable that succeeds in stopping a fighter plane, given known parameters. Then test your model with the following parameters, giving your answer in kN.
Aircraft mass = 25000 kg
Initial velocity = 245 km/h
Track length = 80 m
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