The plane flies at a speed of 800 km / h at an altitude of 10 km from the ground.
| September 4, 2021 | education
The plane flies at a speed of 800 km / h at an altitude of 10 km from the ground. what is the total mechanical energy of an aircraft with a mass of 25 tons?
Data: V (flight speed) = 800 km / h; h (height above the ground) = 10 km; m (aircraft weight) = 25 t.
SI system: V = 800 / 3.6 = 222.2 ^ 2 m / s; h = 10 * 10 ^ 3 m; m = 25 * 10 ^ 3 kg.
Constants: g (acceleration due to gravity) ≈ 10 m / s2.
To calculate the total mechanical energy of the aircraft used, we apply the formula: Epot = Ek + Ep = m * V ^ 2/2 + m * g * h = m * (0.5 * V ^ 2 + g * h).
Calculation: Epot = 25 * 10 ^ 3 * (0.5 * 222.22 ^ 2 + 10 * 10 * 10 ^ 3) ≈ 3.12 * 10 ^ 9 J (3.12 GJ).
Answer: The total energy is 3.12 GJ.
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