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…

Explanation:

Step1: Identify the formula

The formula for gravitational - potential energy is $U = mgh$, where $m$ is the mass, $g$ is the acceleration due to gravity ($g=9.8\ m/s^{2}$), and $h$ is the height. The change in gravitational - potential energy $\Delta U=mg\Delta h$.

Step2: Calculate the change in height

The eagle starts at a height $h_1 = 5\ m$ and ends at a height $h_2 = 25\ m$. So, $\Delta h=h_2 - h_1=25 - 5=20\ m$.

Step3: Calculate the change in gravitational - potential energy

Given $m = 4.5\ kg$, $g = 9.8\ m/s^{2}$, and $\Delta h = 20\ m$. Substitute these values into the formula $\Delta U=mg\Delta h$. $\Delta U=4.5\times9.8\times20$ $\Delta U = 4.5\times196$ $\Delta U=882\ J$

Answer:

882 J