On 5/6/2022 4:35 AM, John Clark wrote:
I'm changing the title because I think it's bad form for the title of
a thread to contain the name of a list member, and because I really do
feel like Bill Murray, we've been over this exact same ground over and
over again almost verbatim. I'm (probably foolishly) going to do it
one more time:
Suppose you wanted to measure the gravitational constant G, how would
you do it? You'd do it the same way Henry Cavendish did it 200 years
ago, you'd use Newton's formula F= √(GM/r) where F is the
gravitational force of attraction between 2 lead balls of equal mass
if you chain one of the balls to the earth's surface and let the other
one swing freely.
?? F=GMM/r^2
Now you'll need to determine the mass of the balls, and you can do
that by noting how fast it accelerates when exposed to a known
calibration force, for example a force provided by a precisely made
coiled clockspring, but if the energy in the clockspring is half of
what it was in Cavendish's day and the inertia of the lead ball is
also half of what it was in Cavendish's day then the value of M you
will write in your lab notebook will be the same as the value
Cavendish wrote in his lab notebook. And the amount of time it takes
for the freely swinging ball to hit the stationary ball that you write
in your lab notebook will be the same as the time Cavendish found. So
the value of G that you write in your lab notebook will be the same
value Cavendish wrote in his.
So you're equating forces Kx=GMM/r^2 where K is the spring constant in
Cavendish's experiment and x is the deflection. Then you halve K and
the M's. Then G must double??
Newton says the orbital velocity of a planet a distance r from the sun
is v= √ (GM/r) ,
So the orbital velocity at the same radius would stay the same...which
contrary to my idea that stellar aberration would change. But now the
number for G in books has changed. But wait, there's more. Distances
are measured by time*SoL, and the speed of light, time is measured by
cesium atoms energy levels. So halving energy will double periods and
wavelengths and the meter will double. So if G->2G, M->M/2, and r->r/2
then v does increase by sqrt(2).
Brent
so if G is the same and M is the same (because the inertial and
gravitational mass are always the same) then the orbital speed of a
planet is the same, and the solar system would look the same. And
because the gravitational acceleration on the surface of the earth g=
GM/R^2 where M is the mass of the earth and R is the radius of the
earth, g would still be 9.8 m/s, and force would still equal mass
times acceleration.
The one thing both Newton and Einstein agreed-upon is that
gravitational mass and inertial mass are always exactly the same, and
that's why Aristotle was wrong, something twice as heavy does not fall
to the ground twice as fast; that's also why even physicist who are
adamantly opposed to many worlds and love to badmouth it don't use the
argument presented around here that the solar system would become
unstable. Some around here are arguing in effect that Aristotle was
right after all, an object twice as heavy would fall to the ground
twice as fast and we should just ignore 2000 years worth of progress
in physics. Unless somebody says something new that I haven't already
responded to at least twice before (and at this point that seems
unlikely) I'm done with this andGroundhog Day is finally over.
John K Clark See what's on my new list at Extropolis
<https://groups.google.com/g/extropolis>
dgd
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