To determine the correct graph that represents the relationship between potential energy and the total mass of an object, it's important to understand the physics involved. The potential energy (PE) of an object is generally given by the formula:
\[ PE = mgh \]
where:
- \( m \) is the mass of the object,
- \( g \) is the acceleration due to gravity (a constant for a given location),
- \( h \) is the height of the object above a reference point.
From this equation, we see that potential energy is directly proportional to mass when height and gravity are constant. Therefore, as mass increases, potential energy will also increase linearly.
So, the correct graph would be a straight line that starts from the origin (0,0) and slopes upward, indicating that as mass increases, potential energy also increases without any limit, assuming height remains constant.
If you provide the specific graphs or options available, I can help you identify which one aligns with this relationship.