To find Paul's kinetic energy (KE), we can use the conservation of energy principle, which states that the total mechanical energy (ME) is the sum of potential energy (PE) and kinetic energy (KE) at any point in time.
We have the following information:
- Potential Energy (PE) = 5,000 J
- Mechanical Energy (ME) = 25,000 J
The formula for mechanical energy is:
\[ ME = PE + KE \]
We can rearrange this equation to solve for KE:
\[ KE = ME - PE \]
Now, we can plug in the values:
\[ KE = 25,000 J - 5,000 J = 20,000 J \]
Therefore, Paul’s kinetic energy (KE) on his bike ride to his friend’s house is 20,000 J.