Final answer:
The statement is false because the acceleration due to gravity is the same for all objects in a given gravitational field and does not depend on mass. Furthermore, gravity varies depending on the mass of the celestial body and the distance from its center, though the gravitational constant is universal.
Step-by-step explanation:
The statement 'The elephant has the greatest acceleration, yet the amount of gravity is the same for each' is false. The acceleration due to gravity is indeed the same for all objects, assuming they are in the same gravitational field and air resistance is negligible.
This means that all objects accelerate at the same rate when falling, typically 9.8 m/s2 on Earth, regardless of their mass. Thus, an elephant and a feather would accelerate at the same rate in a vacuum. However, the elephant does not necessarily have the greatest acceleration in all scenarios; its acceleration can be less than that of a smaller object if other forces are at play. For example, if friction or air resistance are considered, the elephant might accelerate more slowly due to its larger surface area encountering greater force opposing its motion compared to smaller objects.
Additionally, the statement that gravity is a gravitational constant that is the same everywhere in the universe is not entirely accurate. While it's true that the universal gravitational constant (G) is the same throughout the universe, the strength of the gravitational field experienced by objects (g) can vary based on the mass of the celestial body (e.g., Earth, Moon, Jupiter) and the distance from the center of its mass. The examples provided indicate a confusion between the concepts of gravity as a force versus gravity as a field and acceleration due to gravity, which is constant for an object in a given gravitational field.