Answers:
According to the principle of energy conservation, the energy is not created, nor destroyed, it is transformed.
Here, we are talking about Mechanical Energy ([tex]M[/tex]) which is the addition of the Kinetic Energy [tex]K[/tex] (energy of the body in motion) and Potential Energy [tex]P[/tex] (It can be Gravitational Potential Energy or Elastic Potential Energy, in this case is the first one):
[tex]M=K+P[/tex] (1)
The units in which the mechanical energy is expressed is Newton*meter ([tex]Nm[/tex])
So, for this problem we are asked to find only the Potential Gravitational Energy of the eagle. This is mathematically expressed as:
Where:
[tex]m=6.3kg[/tex] is the mass of the eagle
[tex]g=9.8\frac{m}{s^{2}}[/tex] is the gravity acceleration
[tex]h=75m[/tex] is the height at which the eagle is flying
Now, to solve this problem we have to substitute the values in equation (2):
[tex]P=(6.3kg)( 9.8\frac{m}{s^{2}})(75m)[/tex]
[tex]P=4630.5kg\frac{m}{s^{2}}m[/tex]
Note that [tex]1N=1kg\frac{m}{s^{2}}[/tex]
So, the Potential Gravitational Energy of the Eagle is:
[tex]P=4630.5Nm[/tex]
