Question

the object at point a has a potential energy of 140 j and a kinetic energy of 420 j. what is the total energy?
height (m) vs. time (s)
options: 280 j, 420 j, 560 j

Explanation:

Step1: Recall the formula for total mechanical energy

The total mechanical energy (E) is the sum of potential energy (PE) and kinetic energy (KE), so \( E = PE + KE \).

Step2: Substitute the given values

We know that \( PE = 140 \, \text{J} \) and \( KE = 420 \, \text{J} \). Substituting these into the formula, we get \( E = 140 + 420 \).

Step3: Calculate the sum

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

Answer:

560 J