Final answer:
The statement is false; all objects experience the same acceleration due to gravity, which is approximately 9.81 m/s² on Earth's surface.
Step-by-step explanation:
The statement that a 10-kg object has a greater acceleration due to gravity than a 5-kg object is False. In physics, particularly when discussing Newton's laws of motion and gravitational acceleration, it is established that the acceleration due to gravity is the same for all objects, regardless of their mass, assuming there is no air resistance. This acceleration on Earth's surface is approximately 9.81 m/s².