Final answer:
The object would have the most potential energy on Jupiter.
Step-by-step explanation:
To determine where an object would have the most potential energy, we need to compare the potential energy on Earth to that on Jupiter. Potential energy is given by the formula PE = mgh, where m is the mass of the object, g is the acceleration due to gravity, and h is the height.
On Earth, g ≈ 9.8 m/s2. So, the potential energy on Earth is PEEarth = 100 kg × 9.8 m/s2 × 10 m = 9800 J.
On Jupiter, g = 24.8 m/s2. Since the object is at half the height, h = 10 m / 2 = 5 m. Therefore, the potential energy on Jupiter is PEJupiter = 100 kg × 24.8 m/s2 × 5 m = 12400 J.
Comparing the two, the object would have the most potential energy on Jupiter.
Learn more about Potential energy of an object based on location and height