Difference between Mass and volume

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Homework Help Overview

The discussion revolves around the concepts of mass and volume, exploring their definitions and relationships in the context of physics. Participants are trying to clarify the distinctions between mass as the amount of matter and volume as the space occupied by that matter, while also considering the implications of different types of mass, such as inertial and gravitational mass.

Discussion Character

  • Conceptual clarification, Assumption checking

Approaches and Questions Raised

  • Participants are attempting to understand the definitions of mass and volume, questioning how they relate to each other and whether different types of mass are classified by specific formulas. There is also exploration of the equivalence of inertial and gravitational mass and how they interact with forces.

Discussion Status

The discussion is active, with participants providing insights into the relationship between mass and volume, as well as the nature of different types of mass. Some guidance has been offered regarding the equations that link mass, density, and volume, and the equivalence of inertial and gravitational mass is being examined.

Contextual Notes

Participants are approaching these concepts as part of their preparation for college physics, indicating a potential gap in prior knowledge that they are seeking to fill. There is an emphasis on understanding rather than simply memorizing definitions.

kwmwtaj
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OK, I've googled it, I've tried to make sense of it, but I still have this one thing in my head that doesn't go away. Mass vs volume.

What is the difference between the two. If mass is the amount of matter,matter contains and volume is the space enclosed by matter; then it's basically saying how much space there is in an object or shape? Also I keep stumbling upon that there are different types of mass like inertial mass or gravitational mass, are they classified by a formula of such?

Reason why I'm asking is because I'm starting to learn physics in a book to get ready for college since I've lost a lot of memory since high school.
 
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Volume does not depend on matter, simply put it is the amount of 3D space in a certain place or object.

For example, if i have an iron ball that is same size as a ping pong ball they will both have the same volume, because the matter inside the space of either ball does not determine the Volume. You could have a piece space with nothing in it but it would still have Volume.

Both mass and volume are linked in the equation:
m=p*V (Mass = Density * Volume)

This basically means that the mass of an object is equal to the density of its material multipled by the space it takes up.
 
kwmwtaj said:
Also I keep stumbling upon that there are different types of mass like inertial mass or gravitational mass, are they classified by a formula of such?
Inertial and gravitational mass are equivalent as far as we know. Newton's 2nd law gives an inertial mass relationship between net force and acceleration. The force gravitational 'attraction' of masses per F=mMG/r^2 relates to gravitational mass. But they are one and the same until proven otherwise.
 
The notion of gravitational and inertial mass arises because there are two different ways to look at mass. First and foremost, mass decides how readily or reluctantly a body will respond to forces that other bodies exert on it. This mass is known as the inertial mass. For example, you can easily topple a vase because its mass is small. However, you can't topple a filing cabinet even if you apply the same force to it because its mass is considerably bigger.

Mass is also the source of gravitational interaction between bodies. A body will attract all other bodies which have mass through its gravitational field. In other words, just because an object has mass, it gives rise to gravitational potential which in turn gives rise to gravitational field. That;s why this type of mass is known as the gravitational mass.

If I remember correctly there has been an experiment which proved that the inertial and gravitational masses are equivalent, i.e. they are essentially one and the same. The same mass acts both as a source of gravity and as a means to respond to gravitational interaction from other bodies.
 

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