Question

question 23 (2 points)
an eagle carries a 0.030kg mouse 1218m to its eyrie at the top of a mountain to feed to its eaglets. how much potential energy does the mouse have at the top?

Explanation:

Step1: Recall Potential Energy Formula

The formula for gravitational potential energy is \( PE = mgh \), where \( m \) is mass, \( g \) is acceleration due to gravity (\( 9.8 \, \text{m/s}^2 \)), and \( h \) is height.

Step2: Identify Given Values

Mass \( m = 0.030 \, \text{kg} \), height \( h = 1218 \, \text{m} \), \( g = 9.8 \, \text{m/s}^2 \).

Step3: Substitute Values into Formula

\( PE = 0.030 \times 9.8 \times 1218 \)
First, calculate \( 0.030 \times 9.8 = 0.294 \)
Then, \( 0.294 \times 1218 = 0.294 \times 1200 + 0.294 \times 18 = 352.8 + 5.292 = 358.092 \)

Answer:

The potential energy of the mouse at the top is approximately \( 358 \, \text{J} \) (or \( 358.092 \, \text{J} \)).