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A 14,300 kg airplane is flying at an altitude of 147 m with a speed of 214 m/s. Determine the airplane's total mechanical energy.

Answer :

The total mechanical energy of the airplane is equal to 348,041,980 Joules.

Given the following data:

  • Mass = 14300 kg
  • Height = 147 meters.
  • Velocity = 214 m/s.

Scientific data:

  • Acceleration due to gravity on Earth = 9.8 [tex]m/s^2[/tex]

To calculate the total mechanical energy of the airplane:

How to calculate total mechanical energy.

The total mechanical energy possessed by this airplane is equal to the sum of both the potential energy and kinetic energy at the given altitude.

Mathematically, the total mechanical energy is given by this formula:

[tex]E = \frac{1}{2}mv^2 + mgh[/tex]

Substituting the given parameters into the formula, we have;

[tex]E = \frac{1}{2}\times 14300 \times 214^2 + 14300 \times 9.8 \times 147\\\\E=7150 \times 45796 + 20600580\\\\E= 327441400 + 20600580[/tex]

E = 348,041,980 Joules.

Read more on mechanical energy here: brainly.com/question/17081653

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Rewritten by : Barada

Answer:

Mechanical energy in Joules:

348,041,980