Weight and mass are two concepts and distinct physical quantities, but even now, in everyday speech, the term "weight" is often used incorrectly as a synonym for mass, which is a scalar quantity. The Academy itself recognized this confusion in the definition of "Weighting": "Determining the weight, or more properly, the mass of something by the scale or equivalent facility."

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2. Weight and mass are two concepts and distinct physical quantities, but
even now, in everyday speech, the term "weight" is often used incorrectly
as a synonym for mass, which is a scalar quantity. The Academy itself
recognized this confusion in the definition of "Weighting": "Determining the
weight, or more properly, the mass of something by the scale or equivalent
facility."
In classical physics, the weight is a measure of the gravitational force
acting on an object. The weight corresponds to the force exerted by one
body on a support, caused by the action of the local gravitational field on
the mass of the body. As a force, the weight is represented as a vector,
defined by its magnitude and direction, applied in the center of gravity of
the body and directed approximately towards the center of the Earth.
The Newtonian concepts of gravity were challenged by relativity in the 20th
century. The Einstein equivalence principle all observers placed in the
same plane. This led to an ambiguity as to what exactly is meant by the
"gravity" and therefore weight. The ambiguities introduced by relativity led,
starting in the 1960s, to considerable debate in the education community
on how to define the weight of their students. The election was a Newtonian
definition of weight as the force of an object at rest on the ground due to
gravity or an operational definition defined by the act of weighing. In the
operational definition, the weight becomes zero, as in weightlessness in
Earth orbit or free fall in a vacuum. In such situations, the Newtonian is that
there remains a force due to gravity is not measured (thus causing an
apparent weight of zero) while the Einsteinian view is that there is never a
measurable force due to gravity (including the ground), but, in free fall, no
force can be measured because the soil does not exert mechanical force is
ordinarily observed as "weight".
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3. The mass, in physics, is a measure of the quantity of material which has a
body. It is an intrinsic property of the body that determines the extent of
the inertial mass and gravitational mass. The unit used to measure mass in
the International System of Units is the kilogram (kg). It is a scalar
quantity.
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