Find the thrust force of the engine of an aircraft weighing 20 tons if at the end of the 500 m

Find the thrust force of the engine of an aircraft weighing 20 tons if at the end of the 500 m long runway it has a speed of 180 km / h during acceleration. Resistance force 10,000 N.

Initial data: m (aircraft mass) = 20 t (20 * 10 ^ 3 kg); S (runway length, distance traveled by the aircraft) = 500 m; V (airplane speed at the end of the runway) = 180 km / h (50 m / s); Fcomp. (Force of resistance to the movement of the aircraft) = 10,000 N.

The thrust force of the aircraft engine can be determined from the equality: m * a = m * (V ^ 2 / 2S) = F – Fcomp., Whence F = m * (V ^ 2 / 2S) + Fcomp.

Calculation: F = 20 * 10 ^ 3 * (50 ^ 2 / (2 * 500)) + 10000 = 60,000 N (60 kN).

Answer: The thrust force of the aircraft engine is 60 kN.