Find the total mechanical energy of an airplane flying at an altitude of 1 km with a speed of 250 m / s?

Find the total mechanical energy of an airplane flying at an altitude of 1 km with a speed of 250 m / s? Aircraft weight 10 tons.

Data: h (the height of the aircraft under consideration above the zero surface) = 1 km (in the SI system h = 1 * 10 ^ 3 m); V (aircraft speed) = 250 m / s; m (mass) = 10 t (in the SI system m = 10 * 10 ^ 3 kg).

Constants: g (acceleration due to gravity) ≈ 10 m / s2.

The total mechanical energy of the aircraft in question is determined by the formula: Em = Ek + Ep = m * V ^ 2/2 + m * g * h.

Calculation: Em = 10 * 10 ^ 3 * 250 ^ 2/2 + 10 * 10 ^ 3 * 10 * 1 * 10 ^ 3 = 412.5 * 10 ^ 6 J (412.5 MJ).

Answer: The total mechanical energy is 412.5 MJ.