Final answer:
Mass is a measure of matter in an object and is invariant of location. Two objects with the same mass are equal, irrespective of volume and density. The acceleration due to gravity is the same for all objects but the gravitational force (weight) varies with mass.
Step-by-step explanation:
When discussing the masses of two objects, it is important to understand the concept of mass itself. Mass is a fundamental property of objects that measures the amount of matter they contain and is a key factor in both inertia and gravitational attraction. In physics, the mass of an object does not change regardless of its location - whether it be on Earth, in orbit, or on the Moon. Two objects that have the same mass are considered to be equal in this regard, regardless of their size, shape, or the type of substance that they are made of.
There is a common misconception that if two objects have different masses, the forces exerted on them by gravity will be different, but in reality, all objects on the surface of the Earth experience the same acceleration due to gravity, which is approximately 9.81 m/s2. However, it is important to note that while the acceleration due to gravity is the same, the force that an object experiences due to gravity (its weight) is directly proportional to its mass. This means that two objects with different masses will experience different amounts of gravitational force.