Path: news.eternal-september.org!eternal-september.org!feeder3.eternal-september.org!fu-berlin.de!uni-berlin.de!individual.net!not-for-mail
From: Luigi Fortunati <fortunati.luigi@gmail.com>
Newsgroups: sci.physics.research
Subject: Re: inelastic collision (was: Re: Newton e Hooke)
Date: Sun, 16 Mar 2025 21:28:32 PDT
Organization: A noiseless patient Spider
Lines: 40
Approved: Jonathan Thornburg [remove -color to reply]" <dr.j.thornburg@gmail-pink.com (sci.physics.research)
Message-ID: <vr722l$27r6f$1@dont-email.me>
References: <vne5fv$2i6se$1@dont-email.me>
  <vn34df$2to44$1@dont-email.me>
  <m132snF94igU1@mid.dfncis.de>
  <voloqi$3374b$1@dont-email.me>
  <vos7hr$gpqq$1@dont-email.me>
  <m1g9ofFcmipU1@mid.dfncis.de>
  <m1iubdFou33U1@mid.dfncis.de>
  <vp6jmg$2nq3g$1@dont-email.me>
  <vpd0kg$23r6$1@dont-email.me>
  <m28047FughsU1@mid.dfncis.de>
  <vps7vq$3laqc$1@dont-email.me>
  <m2g1nuF6gbtU1@mid.dfncis.de>
  <vq2ekr$u7jg$1@dont-email.me>
  <vqrurc$2jv61$1@dont-email.me>
  <vr61a9$1dgds$1@dont-email.me>
Reply-To: fortunati.luigi@gmail.com
X-Trace: individual.net gYbiNgdWGleWlYj/dP2YwgiiqQoiWLEyY70W1Gk9B6dVuEa2Kf5XYRJnDn
Cancel-Lock: sha1:3JGe6d9yO9s1P0BhQAvfIdpCTP4= sha256:GmA37pZJ5JAd/B4EbgZEsBMQYnt40EMUZbSHInPvWdU=
X-Forwarded-Encrypted: i=2; AJvYcCX+AmPAoHc7R4eyIhvJwSqd3yWJfhd1oLgLPRO4CJ3P8z2bcIbBSqFp31nI0YOeFK0Ys0DT2UmNKJW6xhKR/w==@gmail.com
X-Auth-Sender: U2FsdGVkX1+5qNN4+cpXqFsY6tC7X4peQTlusyTDKRAqAGXksoftuf2Q6/8sUsMP
X-ICQ: 1931503972

Luigi Fortunati il 16/03/2025 10:28:35 ha scritto:
>> The animation https://www.geogebra.org/classic/hxvcaphh shows how two 
>> rigid bodies interact when they collide head-on.
>>
>> ... 
>
> So, the new law is defined as follows: "For every action there is a 
> corresponding opposite reaction depending on the ratio between the two 
> masses expressed by the equation FA_B=-F_BA(1+(mA-mB)^2/(mA+mB))".

Surprisingly and referring to inertia, Newton said something very 
similar: "The vis insita, or innate force of matter, is a power of 
resisting, by which every body, as much as it lies, endeavors to 
persevere in its present state, whether it be of rest, or of moving 
uniformly forward in a right line. This force is __proportional__ to 
the body whose force it is...".

Proportional and not equal!

In the collision this is exactly what happens: each of the bodies A and 
B endeavors to persevere in its current state of motion and rebels with 
a force proportional to the other body that tries to modify it.

Now that I think I have found this proportionality I realize that I 
still have a long way to go.

First of all, why does the proportionality depend on 
(1+(mA-mB)^2/(mA+mB)) and not on anything else?

I found it indirectly starting from the conservation of momentum and 
knowing how the velocities of bodies vary after the collision but I 
would need to compare myself with someone who is better than me to find 
the direct explanation, to check that everything is correct, to fix 
every imperfection or error and to transcribe everything with the 
correct scientific language suitable for an official publication.

Is there anyone willing to collaborate with me to fine-tune everything 
together or to find any errors that I may have missed?

Luigi Fortunati