Re: defining laws in isolation or 'no other force acting'

<hibbsa-/[email protected]> 21 Jan 2014 21:08:01 -0800
Newsgroups gmane.science.physics.fabric-of-reality
Message-ID <[email protected]>
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      <p><p></p><div class="ygroups-quoted"><br><br>---In [email protected], &lt;garyo@...&gt; wrote:<br><br><div id="ygrps-yiv-399508818">On Sun, Jan 19, 2014 at 2:26 AM, &lt;<a rel="nofollow" target="_blank" href="mailto:hibbsa@...">hibbsa@...</a>&gt; wrote:<br>
<br>
<blockquote><span title="ireply"> &gt; the reasoning seems to reverse quite easily, such that the second law<br>
&gt; derives from the first.<br>
<br>
<br>
 </span></blockquote>The first law doesn&#39;t specify the relationship between force and<br>
acceleration (except that there is one).  For instance, F=m*a^2 would also<br>
lead to bodies at rest staying at rest and bodies in motion staying in that<br>
state of motion.  (There&#39;s no acceleration in either case.)  So you can&#39;t<br>
derive the second law from the first, only the other way.<br>
<br>
-- <br>
Gary</div><div>&nbsp;</div><div>You might be tempted to kick yourself when you your brain realizes it&#39;s true before I can finish writing that &quot;you got the problem right but the wrong context&quot; as &quot;F -&gt; a&quot; is the right relationship, but the way it could be in terms of &quot;a&quot; is the trivial context, and &quot;m&quot; is the intractable problem. </div><div>&nbsp;</div><div>But there&#39;s a reason why you couldn&#39;t choose &quot;m&quot; even though &quot;F -&gt; a&quot; , is literally substituting &quot;m&quot; for &quot;-&gt;&quot; (i.e. relationship) in a context that you&#39;ve probably known since you were about 8. </div><div>&nbsp;</div><div>But the intractability of &quot;m&quot; is that in the history of the end to end reasoning, &quot;m&quot; never e
 xisted, and there was never a way to bring it into existence. </div><div><var id="yui-ie-cursor"></var>&nbsp;</div></div></p>

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