Question

2 during a memorial airshow (like the ones flown at major state events) an airplane of mass 5000 kg is 300 m above the ground and moving at 60 m/s. how much total energy does the airplane have?

Explanation:

Step1: Calculate kinetic energy

The formula for kinetic energy is $K = \frac{1}{2}mv^{2}$, where $m = 5000$ kg and $v=60$ m/s.
$K=\frac{1}{2}\times5000\times60^{2}= \frac{1}{2}\times5000\times3600 = 9000000$ J

Step2: Calculate potential energy

The formula for gravitational - potential energy is $U = mgh$, where $m = 5000$ kg, $g = 9.8$ m/s², and $h = 300$ m.
$U=5000\times9.8\times300=14700000$ J

Step3: Calculate total energy

The total mechanical energy $E$ is the sum of kinetic and potential energies, $E=K + U$.
$E=9000000+14700000 = 23700000$ J

Answer:

23700000 J