Question

If force F, length L and time T are taken as fundamental units, the dimensional formula for mass will be

Answer 1

Answer:

Dimension of mass = [ F$L^{-1} T^{2}$ ]

Explanation:

F = m x a

In terms of dimension:

F = [F]

a = L $T^{-2}$

[F] = m x [L$T^{-2}$]

m = [ F$L^{-1} T^{2}$ ]

Answer 2

Answer:

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Explanation:

Mass is a property of physical objects and a measure of how resistant that body is to acceleration. One can consider the mass of an object as a measure of how much physical “stuff” makes up that object.

Unlike relational properties such as position, velocity, or potential energy, which always must be defined with respect to another object or a reference point, mass is an intrinsic property that an object has independently of its relation to other things. The mass of an object can be calculated in a number of different ways:

mass=density×volume (m=ρV). Density is a measure of mass per unit of volume, so the mass of an object can be determined by multiplying density by volume.

mass=force÷acceleration (m=F/a). According to Newton’s second law (F=ma), the acceleration of an object is directly proportional to the force applied to it. Consequently, the amount of acceleration accompanying the application of a constant force is inversely proportional to the mass.

mass=weight÷gravitational acceleration (m=W/g). Weight is the product of the acceleration of mass in a gravitational field. Depending on the strength of gravitational acceleration, the weight will be different.

All three of these formulae are a way of determining the mass of an object. Since mass is a fundamental property, It is not defined in terms of other units, like the joule (J) of newton (N) are. There are other ways to calculate the mass of an object, but these three formulae are the most common ones.

m=ρV

m=W/g

m=F/a

Units Of Mass

The SI-accepted unit for mass the kilogram (Kg). The kilogram is the only base SI unit with a prefix in its name (kilo-). Originally, one kilogram was defined as the mass of one cubic deciliter (dL) of water at its melting point. As of 1889, the kilogram was redefined as the mass of the International Kilogram Prototype (IPK), a physical artifact meant to be the universal reference mass for the kilogram. Originally the IPK was a weight made out of cast iron. Currently, the accepted IPK is a 39 mm tall cylinder made of a special platinum alloy.