An eagle that has a mass of 4.5 kg is spotted 5 m above a lake. It flies up to its nest in a tree at a height of 25 m. How much gravitational potential energy did the eagle gain

Respuesta :

The eagle gained 882 J of gravitational potential energy.

Answer:

The eagle gained 882 J of  gravitational potential energy.

Explanation:

Given that,

mass of an eagle = 4.5 kg

Initial height [tex]h_{i} = 5\ m[/tex]

Final height  [tex]h _{f} = 25\ m[/tex]

We need to calculate the gravitational potential energy gain

The gravitational potential energy is defined as,

[tex]E = mgh[/tex]

Change the gravitational potential energy is

[tex]\Delta E= mgh_{f}-mgh_{i}[/tex]

Put the value in to the formula

[tex]\Delta E = 4.5\times9,8\times(25-5)[/tex]

[tex]\Delta E = 4.5\times9,8\times20[/tex]

[tex]\Delta E=882\ J[/tex]

Hence, The eagle gained 882 J of  gravitational potential energy.