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A stronger version of the equivalence principle, known as the Einstein equivalence principle or the strong equivalence principle, lies at the heart of the general theory of relativity. Einstein's equivalence principle states that within sufficiently small regions of space-time, it is impossible to distinguish between a uniform acceleration and a uniform gravitational field. Thus, the theory postulates that the force acting on a massive object caused by a gravitational field is a result of the object's tendency to move in a straight line (in other words its inertia) and should therefore be a function of its inertial mass and the strength of the gravitational field. the mass of a particle, as identified with its inverse Compton wavelength ( 1cm −1 ≘ 3.52 ×10 −41kg) where W is the weight of the collection of similar objects and n is the number of objects in the collection. Proportionality, by definition, implies that two values have a constant ratio:

Isaac Newton, Mathematical principles of natural philosophy, Definition I. Newtonian mass Earth's Moon

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The universality of free-fall only applies to systems in which gravity is the only acting force. All other forces, especially friction and air resistance, must be absent or at least negligible. For example, if a hammer and a feather are dropped from the same height through the air on Earth, the feather will take much longer to reach the ground; the feather is not really in free-fall because the force of air resistance upwards against the feather is comparable to the downward force of gravity. On the other hand, if the experiment is performed in a vacuum, in which there is no air resistance, the hammer and the feather should hit the ground at exactly the same time (assuming the acceleration of both objects towards each other, and of the ground towards both objects, for its own part, is negligible). This can easily be done in a high school laboratory by dropping the objects in transparent tubes that have the air removed with a vacuum pump. It is even more dramatic when done in an environment that naturally has a vacuum, as David Scott did on the surface of the Moon during Apollo 15. Atomic weightand molecular weightare molar quantities that relate to the mass of an element or a compound, respectively. Therefore, the word " mass"is the first indicator word that is associated with applying one of these values in a problem-solving context. Alternatively, mass units, such as" grams,"" kilograms," or " milligrams," also serveasindicators for utilizing these molar relationships. A constant force is defined as the force applied in a concerted manner over an object. At the same time, the direction of the constant force is parallel to that of the direction of the acceleration produced in the body. However, the work done by a constant force is denoted by the product of the acceleration produced in the body as well as the force applied on the body. In everyday usage, mass and " weight" are often used interchangeably. For instance, a person's weight may be stated as 75kg. In a constant gravitational field, the weight of an object is proportional to its mass, and it is unproblematic to use the same unit for both concepts. But because of slight differences in the strength of the Earth's gravitational field at different places, the distinction becomes important for measurements with a precision better than a few percent, and for places far from the surface of the Earth, such as in space or on other planets. Conceptually, "mass" (measured in kilograms) refers to an intrinsic property of an object, whereas "weight" (measured in newtons) measures an object's resistance to deviating from its current course of free fall, which can be influenced by the nearby gravitational field. No matter how strong the gravitational field, objects in free fall are weightless, though they still have mass. [6] In mechanics’ mass, length, and time are selected as three base dimensions from which other derived quantities such as velocity, force, energy are derived. The fundamental units are expressed as

According to K. M. Browne: "Kepler formed a [distinct] concept of mass ('amount of matter' ( copia materiae)), but called it 'weight' as did everyone at that time." [9] Finally, in 1686, Newton gave this distinct concept its own name. In the first paragraph of Principia, Newton defined quantity of matter as “density and bulk conjunctly”, and mass as quantity of matter. [13] Albert Einstein developed his general theory of relativity starting with the assumption that the inertial and passive gravitational masses are the same. This is known as the equivalence principle. Active gravitational mass determines the strength of the gravitational field generated by an object. Work done: Work done by a constant force is the work done by a constant force of 2 Newtons on an object having a mass of 3 kilograms. W n n = W m m {\displaystyle {\frac {W_{n}}{n}}={\frac {W_{m}}{m}}} , or equivalently W n W m = n m . {\displaystyle {\frac {W_{n}}{W_{m}}}={\frac {n}{m}}.}According to relativity, mass is nothing else than the rest energy of a system of particles, meaning the energy of that system in a reference frame where it has zero momentum. Mass can be converted into other forms of energy according to the principle of mass–energy equivalence. This equivalence is exemplified in a large number of physical processes including pair production, beta decay and nuclear fusion. Pair production and nuclear fusion are processes in which measurable amounts of mass are converted to kinetic energy or vice versa.

The SI base unit of mass is the kilogram (kg). In physics, mass is not the same as weight, even though mass is often determined by measuring the object's weight using a spring scale, rather than balance scale comparing it directly with known masses. An object on the Moon would weigh less than it does on Earth because of the lower gravity, but it would still have the same mass. This is because weight is a force, while mass is the property that (along with gravity) determines the strength of this force. An early use of this relationship is a balance scale, which balances the force of one object's weight against the force of another object's weight. The two sides of a balance scale are close enough that the objects experience similar gravitational fields. Hence, if they have similar masses then their weights will also be similar. This allows the scale, by comparing weights, to also compare masses. Pendulum motion: The motion of the pendulum is one of the common examples of constant force. The force applied over the pendulum does not change with

Inertial mass measures an object's resistance to being accelerated by a force (represented by the relationship F = ma). Galileo found that for an object in free fall, the distance that the object has fallen is always proportional to the square of the elapsed time: A constant force is defined as the force applied in a constant manner on a particular object in a direction parallel to that of the direction of the acceleration produced in the body.