Question

at point a, the potential energy is 500 j and the total energy is 1000 j. what is the kinetic energy?
height (m) vs. time (s)
options: 50 j, 500 j, 1000 j

Explanation:

Step1: Recall the energy conservation formula

The total mechanical energy \( E_{total} \) is the sum of potential energy \( E_{potential} \) and kinetic energy \( E_{kinetic} \), so \( E_{total}=E_{potential} + E_{kinetic} \).

Step2: Rearrange the formula to solve for kinetic energy

We can rearrange the formula to \( E_{kinetic}=E_{total}-E_{potential} \).

Step3: Substitute the given values

We know that \( E_{total} = 1000\space J \) and \( E_{potential}=500\space J \). Substituting these values into the formula, we get \( E_{kinetic}=1000 - 500=500\space J \).

Answer:

500 J