What is the total mechanical energy of a helicopter flying at 3 km altitude at a speed of 144 km / h?
| May 1, 2021 | education
Task data: h (helicopter height relative to the earth’s surface) = 3 km (3 * 10 ^ 3 m); V (speed of the helicopter) = 144 km / h (40 m / s).
Reference values: g (acceleration due to gravity) ≈ 10 m / s2.
The total mechanical energy of the helicopter is equal to the sum of its kinetic and potential energies: Esum. = Ek + En = m * V ^ 2/2 + m * g * h = (V ^ 2/2 + g * h) * m.
Calculation: Esum. = (40 ^ 2/2 + 10 * 3 * 10 ^ 3) * m = 30800m J.
Answer: The helicopter has a total kinetic energy of 30800m J.
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