Final answer:
If the mass of an elevated object is doubled, the gravitational potential energy of the object doubles, assuming the height and acceleration due to gravity remain unchanged.
Step-by-step explanation:
If the mass of an elevated object is doubled, its gravitational potential energy also doubles. This is because gravitational potential energy (GPE) is directly proportional to the mass of the object. The formula for gravitational potential energy is given by GPE = mgh, where m is the mass, g is the acceleration due to gravity (a constant), and h is the height above the reference point.
Therefore, when you double the mass (from m to 2m), the gravitational potential energy changes from mgh to 2mgh, which is exactly twice the original value. Thus, if all conditions besides the mass remain unchanged, specifically height and the acceleration due to gravity, the correct answer to the question is that the gravitational potential energy doubles.