Question

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

Answer 1

The eagle gained 882 J of gravitational potential energy.

Answer 2

The eagle gained 882 J of gravitational potential energy.

Step-by-step explanation:

Given that,

mass of an eagle = 4.5 kg

Initial height
`h_(i) = 5\ m`

Final height
`h _(f) = 25\ m`

We need to calculate the gravitational potential energy gain

The gravitational potential energy is defined as,

`E = mgh`

Change the gravitational potential energy is

`\Delta E= mgh_(f)-mgh_(i)`

Put the value in to the formula

`\Delta E = 4.5*9,8*(25-5)`

`\Delta E = 4.5*9,8*20`

`\Delta E=882\ J`

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