Explanation:
To calculate the speed of the hippopotamus, we can use the formula for kinetic energy:
\[ KE = \frac{1}{2} m v^2 \]
Where:
- \( KE \) is the kinetic energy,
- \( m \) is the mass of the object (in kg),
- \( v \) is the speed of the object (in m/s).
We need to rearrange the formula to solve for \( v \):
\[ v = \sqrt{\frac{2 \times KE}{m}} \]
Given that the mass of the hippopotamus is \( m = 1500 \) kg and the kinetic energy is \( KE = 52,083 \) J, we can substitute these values into the equation:
\[ v = \sqrt{\frac{2 \times 52083}{1500}} \]
\[ v = \sqrt{\frac{104166}{1500}} \]
\[ v = \sqrt{69.44} \]
\[ v \approx 8.33 \, \text{m/s} \]
So, the hippopotamus' speed is approximately \( 8.33 \, \text{m/s} \).
