Solve the below problem in detail:
Q: An airplane has a mass of 5000 kg, a maximum thrust of 7000 N, and a rectangular wing with aspect ratio 6.0. It takes off at sea level with a 60° split flap as in Fig. 7.25. Assume all lift and drag is due to the wing. What is the proper wing size if the take-off distance is to be 1 km?