For physics, mass is nothing more than the magnitude that expresses the amount of matter in a body, measured by its inertia, which determines the acceleration produced by a force acting on it. It is an extrinsic property of bodies. Mass determines the measure of inertial mass and gravitational mass. The unit used to measure mass is the Kilogram in the International System of Units.
It should not be confused with weight, which is a scalar quantity that represents a force in-unit, Newton. Weight comes from the force exerted by gravity on a mass. The mass should not be confused with the amount of substance, a quantity that is measured in mol.
The concept of mass and weight are pre-scientific notions, starting with Newton the modern concept of Newton arises, being defined by the union of two laws: Newton’s law of universal gravitation and Newton’s second law. Newton affirmed the existence of inertial mass and gravitational mass as two different magnitudes, but careful experiments demonstrated their similarity in values.
Einstein drew on these similarities as a starting point for his theory of relativity. For Einstein, this only meant that mass is synonymous with a quantity of matter.
Read Also: Mass vs Weight
Volume is a scalar metric quantity defined as the extent in three-dimensional space. It is a magnitude that comes from the length, as it is found by multiplying the height, width, and length. For mathematics, the volume is not only definable in Euclidean space but also in metric spaces such as Riemannian manifolds.
From physics, material bodies occupy a volume as they are extensive. It is a more complicated notion than the surface one. Volume is measured under the unit of the cubic meter according to the International System of Units. The Liter unit is used to measure capacity. There are various units of volume that are used depending on the context and the purpose for which the measurement is made.
If it is a comedic or technical Morabito, the cubic meter is used, but, if we are talking about the volume of liquid or gaseous substances, the capacity of the container in which they are is used, that is, in liters and its derivatives. Sometimes, if the density of the material is constant and known, the quantity can be expressed by mass instead of volume.
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