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…

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?\n221 j\n882 j\n1103 j\n1377 j

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?\n221 j\n882 j\n1103 j\n1377 j

Answer

Answer:

  1. First, recall the gravitational - potential - energy 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 $\Delta U=mg\Delta h$.
  2. Then, find the change in height $\Delta h$:
    • The initial height $h_1 = 5\ m$ and the final height $h_2 = 25\ m$. So, $\Delta h=h_2 - h_1=25 - 5=20\ m$.
    • The mass of the eagle $m = 4.5\ kg$ and $g = 9.8\ m/s^{2}$.
  3. Next, calculate the change in gravitational potential energy:
    • Substitute the values into the formula $\Delta U=mg\Delta h$.
    • $\Delta U=4.5\times9.8\times20$.
    • First, $4.5\times9.8 = 44.1$.
    • Then, $44.1\times20=882\ J$.

The answer is 882 J. So the correct option is: 882 J.