From: Randy Poe on

TomGee wrote:
> Randy Poe wrote:
> > TomGee wrote:
> > > Randy Poe wrote:
> > > > TomGee wrote:
> > > > > It would be a pity if you were right, but you contradict yourself
> > > > > immediately by saying above that force and momentum are equivalent.
> > > >
> > > > Where did I say that? I would have snipped more, but I wanted
> > > > to leave all the stuff you quoted from me so you can point
> > > > me to the passage where you think I said F = p.
> > > >
> > > If you think you did not say it. then just what do you mean by F=dp/dt?
> >
> > That force is the derivative of momentum with respect to time.
> >
> I see. And the relevance of that to our topic is ...?

That force and momentum are not the same thing. That the
equation F = dp/dt does not say that they are the
same thing. That the discussion was whether I had said
they were the same thing.

Isn't the topic of discussion "momentum and force are the
same thing"?

> > For instance suppose p is a constant in time, say p = 5.
> > The F = dp/dt = 0. Five and zero are not the same.
> >
> > Suppose p is increasing linearly in time, p = p_0 + b*t
> >
> > Then F = dp/dt = b, a constant. The constant b and the
> > linearly increasing function p_0 + b*t are not the same.
> >
> >
> Okay, so what?

So p and dp/dt are not the same thing. So when I say
F = dp/dt, I'm not saying F = p. So momentum and force are
not the same thing. So momentum and force are related
by the differential relationship, F = dp/dt. So actually
working out dp/dt for some specific examples illustrates
how very different momentum and force are for any
given situation.

- Randy

From: TomGee on

Herman Trivilino wrote:
> "TomGee" <lvlus(a)hotmail.com> wrote ...
>
> > Then, Herman, what does E=mc^2 mean to you?
>
> It means that mass is a form of energy.
>
>
That's what we have been taught to think Terman, but it does not mean
that at all. That is a "preconception" put in your mind by PD's stupid
teachers who have been taught to sneer at their students ideas. They
have convinced you to that's what it means because that's what they
were taught too and they have been taught not to think for themselves.
They taught you that it means mass is a form of energy and that if you
try to say it doesn't then you are showing your inability to change
your preconceived ideas. PD's circular arguments notwithstanding, it's
a trick, donchasee?
>
>
> When you are co-moving with respect to a composite body, the mass m that you
> measure of the composite body consists of two parts. It is the sum of the
> masses of each of the objects within the composite body PLUS the total
> energy (divided by c²) of those objects.
>
>
Two parts? Didja forget about the many atoms and their many parts?
>
>
> In other words, when we measure the mass of a composite body we find that it
> consists not only of the masses of the components, but also the total of
> their energies. Thus we see that mass is just one of the many different
> forms of energy.
>
> That is what it means to me. Thanks for asking. That is one of my favorite
> questions to answer!
>
>
If you use AE's shortened version of the formula you do not measure
"the total of their energies", you only measure the mass and not it's
momentum.

From: Herman Trivilino on
"TomGee" <lvlus(a)hotmail.com> wrote ...

>> > Then, Herman, what does E=mc^2 mean to you?

>> It means that mass is a form of energy.

> That's what we have been taught to think

No it isn't. It's what I've been taught to think.

> They taught you that it means mass is a form of energy and that if you
> try to say it doesn't then you are showing your inability to change
> your preconceived ideas.

Uh..., I'd have to say that most of the teaching that I've been exposed to
didn't make this at all clear to me. It's an understanding I've come to
after studying the subject, talking about it with others, reading about it
in textbooks and journals.

>> When you are co-moving with respect to a composite body, the mass m that
>> you
>> measure of the composite body consists of two parts. It is the sum of
>> the
>> masses of each of the objects within the composite body PLUS the total
>> energy (divided by c?) of those objects.

> Two parts? Didja forget about the many atoms and their many parts?

No. I didn't. My argument in no way restricts it to two parts.

> If you use AE's shortened version of the formula you do not measure
> "the total of their energies", you only measure the mass and not it's
> momentum.

You asked the question. I answered it. When you measure their energies you
do indeed measure "only" the mass. That's my point. That's what is meant
by the statement that mass is a form of energy.



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From: Herman Trivilino on
"TomGee" <lvlus(a)hotmail.com> wrote ...

>> He just told you what I meant. I didn't say F = p, I said F is the
>> time rate of change of p.
>>
>>
> And the relevance of that to out topic is...?

You asked. We answered. It doesn't get any more relevant than that.



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From: PD on

TomGee wrote:
> Herman Trivilino wrote:
> > "TomGee" <lvlus(a)hotmail.com> wrote ...
> >
> > > Then, Herman, what does E=mc^2 mean to you?
> >
> > It means that mass is a form of energy.
> >
> >
> That's what we have been taught to think Terman, but it does not mean
> that at all. That is a "preconception" put in your mind by PD's stupid
> teachers who have been taught to sneer at their students ideas.

Hey, look at that, TomGee is talking about me in the 3rd person as
though I'm not there, something he finds repellingly rude.

PD

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