Answer:
The correct option is
B. PEA = KEC + PEC
Explanation:
The potential energy is the energy possessed due to position
From the image the point with the highest position and therefore the most potential energy and the lowest or zero kinetic energy is point A
Given that we have;
Total mechanical energy = The potential energy + The kinetic energy
Where there is constant total mechanical energy in the system, then, at the point A where the kinetic energy is zero, the potential energy is equal to the total mechanical of the system, we have;
Total mechanical energy = The potential energy at A = PEA
Total mechanical energy = PEA
At point C where we have the total mechanical energy presented as follows;
Total mechanical energy = Kinetic energy at C + Potential energy at C
Total mechanical energy = KEC + PEC
Therefore;
PEA = KEC + PEC.