We used the balance scale to give us weight for 6000 years and for
6000 years we believed that heavy objects fall faster than lighter
objects. So when Galileo showed that all objects fall at the same rate
when dropped at the same time from the same height we were amazed and
we have remained amazed for 450 years.
Where we place a balance scale is immaterial to the function of the
balance scale (as long as it is placed in a frame within which it can
operate). Wherever we place it the magnitude of the acceleration [g]
as a factor of the product weight [mg], will be the same on each pan
regardless of the mass magnitudes placed on the pans. We calibrate the
machine with empty pans or identical weights. So when we define an
object in units of weight [mg], the only quantity we are comparing on
the balance scale is the quantity of mass [m], since acceleration [g]
is a consequence of location, it allows us to calibrate the scale.
This uniform action [g] on each pan enables us to compare non-uniform
mass resistance on the balance scale. That's pretty simple isn't it?
So you might wonder why I bother to point it out.
Since what is called gravitational acceleration [g] is a consequence
of location and not a consequence of mass [m] (as our tactile sense
informs us) all objects MUST fall at the rate of [g]. We should
investigate why this is true [1]. We need not waste effort in
validating its accuracy. Rather let us determine why it is so.
Further, if [g] was not a consequence of location then mass [m] and
acceleration [g] could not be combined into the product called weight
[mg]. In such a case the balance scale would only give us weight as
[w]. However if that were the case we could never have developed.
Nonetheless we have engaged in extensive research to verify that all
objects fall at the same rate, independent of their mass [m] when
dropped at the same time from the same height (in a vacuum).
Endnote
[1]
I have made it easier to reference my supporting work by creating a
Google Science and Technology Group titled: "The Least Action
Consistent Universe and the Mathematics". Currently it contains
Sections 1 through 9 for reference. The many sub-sections and work
prior to 2007 has not been included. I will develop it further as I
have the time and gain familiarity with the venue. Meanwhile my more
recent work is available for public review to all, and open to
criticism and discussion by any person who joins the group. The
latter is a condition established by Google and newsgroups in general.
I provide information. I seek no recruits. However, there are no
restrictions or requirements to join.
Current web address:
http://groups.google.com/group/thejohnreed
johnreed