Aircraft weighing 100 tons. took off to an altitude of 1 km, at a speed of 200 m / s.

Aircraft weighing 100 tons. took off to an altitude of 1 km, at a speed of 200 m / s. what is its mechanical energy relative to the earth?

Data: m (aircraft mass) = 100 t (100 * 10 ^ 3 kg); h (altitude the plane took off) = 1 km (10 ^ 3 m); V (speed of ascent to a given height) = 200 m / s.

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

The mechanical energy of the aircraft relative to the Earth is determined by the formula: E = Ep + Ek = m * g * h + 0.5 * m * V2 = m * (g * h + 0.5 * V ^ 2).

Calculation: E = 100 * 10 ^ 3 * (10 * 10 ^ 3 + 0.5 * 200 ^ 2) = 3,000,000 * 10 ^ 3 J (3 * 10 ^ 9 J, 3 GJ).

Answer: Mechanical energy is 3 GJ.