The correct answer is C: mass and position.
Potential energy, particularly gravitational potential energy, is determined by the mass of the object and its height (position) above a reference point. The formula for gravitational potential energy (PE) is given by:
\[ PE = mgh \]
where:
- \( m \) is the mass of the object,
- \( g \) is the acceleration due to gravity, and
- \( h \) is the height above a reference level.