Go Back   Science Forums Biology Forum Molecular Biology Forum Physics Chemistry Forum > General Science Forums > Physics Forum
Register Search Today's Posts Mark Forums Read

Physics Forum Physics Forum. Discuss and ask physics questions, kinematics and other physics problems.


Definig mass mathematically

Definig mass mathematically - Physics Forum

Definig mass mathematically - Physics Forum. Discuss and ask physics questions, kinematics and other physics problems.


Reply
 
LinkBack Thread Tools Display Modes
  #1  
Old 01-24-2005, 03:37 PM
Don1
Guest
 
Posts: n/a
Default Definig mass mathematically



Combining only units of the three fundamental quantities of mechanics:
Units of Displacement (s), units of Net Force (f) and units of Time
(t), how many different ways - other than m = f/a = w/g - can you write
a mathematical definition for mass? I can come up with one to help get
things started:

First let's start with one of the simplest combiniations: Displacement
and time; to get what I call speed [s/t] - a rate of change in
position; where velocity is a combination of speed and direction; which
combination is useful to give an initial starting position and
direction of motion to a body of mass whose motion we wish to analysis:

A body with an initial velocity - rate of speed and direction [(s/t)i]
- will continue with this initial speed and direction until a net force
(f) is exerted upon, and/or by it; to change its speed and/or direction
from its original velocity [(s/t)i] to some other velocity [(s/t)t].
The algebraic change in this velocity, {from [(s/t)i] to [(s/t)t],}
divided by the period of time (t) that it takes is known as
acceleration {[(s/t)t]-[s/t)i]/t}. The quotient of a net force (f),
divided by the rate of change in velocity that it causes is a Constant;
called inertia; which is a measure of the quantity of matter - mass -
that is contained by the body. This constant can be written and/or
expressed mathematically: Commonly it is written as m = f/a.

Since a body's weight is the centripetal force exerted by it; on
Earth's surface or some other support thereon - like a weight-scale;
where the acceleration of free fall is called "g", and averages close
to 32 feet per second, per second, mass (m) is commonly written as w/g;
where, for any given body: f/a = w/g.

The common denominators here are the "a", and "g"; which can both be
written as: {[(s/t)t]-[s/t)i]/t}; so that f/{[(s/t)t]-[s/t)i]/t}, is
equal to w/{[(s/t)t]-[s/t)i]/t}.

Now that we have derived inertia, the measure of mass, as the quantity
of matter in a body of it; as being a combination of all three
fundamental quantities of mechanics: We are in a position to derive
the change in momentum as the product of its mass and its velocity (v),
as [wv/g].

We can also define energy. Whereas momentum is that property of a
moving mass which can give a moving body greater power; in proportion
to its speed, to act upon and displace other bodies:

Energy is the potential of a body to do work; either because of its
being stressed out of position, or out of its internally unstressed
configuration and the ability to relieve that stress, either through
returning to its former unstressed position, or unstressed
configuration: Sometimes with unimaginably, sudden vigor; like
explosions, nuclear reactions, nova and supernova.

Reply With Quote
Reply

Tags
definig , mass , mathematically


Thread Tools
Display Modes

Posting Rules
You may not post new threads
You may not post replies
You may not post attachments
You may not edit your posts

BB code is On
Smilies are On
[IMG] code is On
HTML code is Off
Trackbacks are On
Pingbacks are On
Refbacks are On

Forum Jump

Similar Threads
Thread Thread Starter Forum Replies Last Post
PHYSICS, Ex Chao Ordo Donald G. Shead Physics Forum 2 01-03-2012 11:26 AM
What is Gravity? sdr@sdrodrian.com Physics Forum 1 01-27-2008 02:53 PM
johnreed Catch 22 - January 10, 2007 johnlawrencereedjr Physics Forum 0 01-10-2007 08:16 PM
The Achilles Heel of String Theory. S D Rodrian Physics Forum 7 07-08-2006 02:40 PM
A Photon of Mass ߃-- Physics Forum 0 02-23-2004 03:02 AM


All times are GMT. The time now is 04:53 AM.


Powered by vBulletin® Version 3.8.4
Copyright ©2000 - 2014, Jelsoft Enterprises Ltd.
Copyright 2005 - 2012 Molecular Station | All Rights Reserved
Page generated in 0.15209 seconds with 16 queries