Question

the object at point a has a potential energy of 420 j and a total energy of 560 j. what is the kinetic energy?
height (m) vs. time (s)
980 j
560 j
140 j

Explanation:

Step1: Recall the energy conservation formula

The total mechanical energy \( E_{total} \) of an object is the sum of its potential energy \( E_{potential} \) and kinetic energy \( E_{kinetic} \). The formula is \( E_{total} = E_{potential} + E_{kinetic} \).

Step2: Rearrange the formula to solve for kinetic energy

We need to find \( E_{kinetic} \), so we rearrange the formula as \( E_{kinetic} = E_{total} - E_{potential} \).

Step3: Substitute the given values

We know that \( E_{total} = 560 \, \text{J} \) and \( E_{potential} = 420 \, \text{J} \). Substituting these values into the formula, we get \( E_{kinetic} = 560 - 420 \).

Step4: Calculate the result

\( 560 - 420 = 140 \, \text{J} \).

Answer:

140 J