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Re: What would the end velocity be if...?

by throopw@[EMAIL PROTECTED] (Wayne Throop) Feb 19, 2008 at 07:25 AM

: STJensen <RecreationalPoker@[EMAIL PROTECTED]
>
: Someone is placed in a capsule of an electro-magnetic repulsion
: accelerator in the weightless vacuum of space and accelerated along
: its entire length.  If the g force the person feels is 2g (32 ft/s-
: squared x 2) during the entire time along the accelerator and the
: accelerator is 60,000 miles long, how fast would the person be
: traveling when they leave the accelerator and how long would their run
: on the accelerator last?  And if a machine part was fired off on the
: same accelerator at 100g, why do I get the feeling that they be going
: a lot faster than 50 times as fast the 2g-accelerated human and their
: run taking a lot less than 1/50th the time?  Or is my gut wrong and
: they would only be going 50 times faster and their run would only be
: 1/50th the time?

Neither.  Considerably *less* than 50 times as fast, and considerably
*more* than a 50th of the time.  

Do the arithmetic yourself: t=sqrt(2d/a), and v=at.  You can choose a
few numerical examples, or simplify sqrt(2d/a)/sqrt(2d/(50a)), which
of course turns out to be sqrt(1/50) for the time, and sqrt(50) for speed,
or, about seven times the speed.


Wayne Throop   throopw@[EMAIL PROTECTED]
   http://sheol.org/throopw
 




 67 Posts in Topic:
What would the end velocity be if...?
STJensen <Recreational  2008-02-18 23:14:01 
Re: What would the end velocity be if...?
Erik Max Francis <max@  2008-02-18 23:31:17 
Re: What would the end velocity be if...?
throopw@[EMAIL PROTECTED]  2008-02-19 07:25:38 
Re: What would the end velocity be if...?
"Rod" <rodro  2008-02-19 08:16:46 
Re: What would the end velocity be if...?
Erik Max Francis <max@  2008-02-19 00:23:57 
Re: What would the end velocity be if...?
"Rod" <rodro  2008-02-19 09:22:57 
Re: What would the end velocity be if...?
throopw@[EMAIL PROTECTED]  2008-02-19 08:23:11 
Re: What would the end velocity be if...?
Robert Israel <israel@  2008-02-19 13:39:23 
Re: What would the end velocity be if...?
"Mike Combs" &l  2008-02-20 12:40:41 
Re: What would the end velocity be if...?
throopw@[EMAIL PROTECTED]  2008-02-19 22:17:43 
Re: What would the end velocity be if...?
James Burns <burns.87@  2008-02-19 18:12:03 
Re: What would the end velocity be if...?
James Burns <burns.87@  2008-02-20 10:20:22 
Re: What would the end velocity be if...?
Knobby <knobbynobbs@[E  2008-02-21 14:56:25 
Re: What would the end velocity be if...?
Erik Max Francis <max@  2008-02-21 15:03:20 
Re: What would the end velocity be if...?
finite guy <adamlewis@  2008-02-21 15:53:20 
Re: What would the end velocity be if...?
Erik Max Francis <max@  2008-02-21 16:23:50 
Re: What would the end velocity be if...?
finite guy <adamlewis@  2008-02-21 15:58:01 
Re: What would the end velocity be if...?
Erik Max Francis <max@  2008-02-21 16:26:35 
Re: What would the end velocity be if...?
Eivind Kjorstad <eivin  2008-02-22 08:47:25 
Re: What would the end velocity be if...?
finite guy <adamlewis@  2008-02-21 16:02:35 
Re: What would the end velocity be if...?
Erik Max Francis <max@  2008-02-21 16:29:18 
Re: What would the end velocity be if...?
finite guy <adamlewis@  2008-02-21 16:31:13 
Re: What would the end velocity be if...?
Erik Max Francis <max@  2008-02-21 17:17:55 
Re: What would the end velocity be if...?
finite guy <adamlewis@  2008-02-21 16:32:36 
Re: What would the end velocity be if...?
Michael Ash <mike@[EMA  2008-02-21 19:05:10 
Re: What would the end velocity be if...?
Erik Max Francis <max@  2008-02-21 17:11:53 
Re: What would the end velocity be if...?
finite guy <adamlewis@  2008-02-21 17:04:27 
Re: What would the end velocity be if...?
Erik Max Francis <max@  2008-02-21 17:13:58 
Re: What would the end velocity be if...?
finite guy <adamlewis@  2008-02-21 17:22:48 
Re: What would the end velocity be if...?
Erik Max Francis <max@  2008-02-21 18:42:59 
Re: What would the end velocity be if...?
finite guy <adamlewis@  2008-02-21 18:56:12 
Re: What would the end velocity be if...?
Erik Max Francis <max@  2008-02-21 19:10:57 
Re: What would the end velocity be if...?
finite guy <adamlewis@  2008-02-21 18:57:24 
Re: What would the end velocity be if...?
Erik Max Francis <max@  2008-02-21 19:23:54 
Re: What would the end velocity be if...?
finite guy <adamlewis@  2008-02-21 18:59:40 
Re: What would the end velocity be if...?
Erik Max Francis <max@  2008-02-21 19:25:54 
Re: What would the end velocity be if...?
finite guy <adamlewis@  2008-02-21 19:53:46 
Re: What would the end velocity be if...?
Erik Max Francis <max@  2008-02-21 20:25:33 
Re: What would the end velocity be if...?
finite guy <adamlewis@  2008-02-21 20:10:36 
Re: What would the end velocity be if...?
Erik Max Francis <max@  2008-02-21 20:30:04 
Re: What would the end velocity be if...?
finite guy <adamlewis@  2008-02-21 22:13:28 
Re: What would the end velocity be if...?
Erik Max Francis <max@  2008-02-22 15:14:35 
Re: What would the end velocity be if...?
Neilist <lattoralee@[E  2008-02-22 16:01:17 
Re: What would the end velocity be if...?
finite guy <adamlewis@  2008-02-24 18:55:23 
Re: What would the end velocity be if...?
finite guy <adamlewis@  2008-02-24 18:57:33 
Re: What would the end velocity be if...?
finite guy <adamlewis@  2008-02-24 19:04:47 
Re: What would the end velocity be if...?
Tim Little <tim@[EMAIL  2008-02-25 04:17:22 
Re: What would the end velocity be if...?
finite guy <adamlewis@  2008-02-24 19:22:20 
Re: What would the end velocity be if...?
throopw@[EMAIL PROTECTED]  2008-02-25 03:35:50 
Re: What would the end velocity be if...?
finite guy <adamlewis@  2008-02-24 20:36:46 
Re: What would the end velocity be if...?
throopw@[EMAIL PROTECTED]  2008-02-25 04:40:46 
Re: What would the end velocity be if...?
finite guy <adamlewis@  2008-02-24 23:09:56 
Re: What would the end velocity be if...?
throopw@[EMAIL PROTECTED]  2008-02-25 07:10:28 
Re: What would the end velocity be if...?
Neilist <lattoralee@[E  2008-02-25 07:02:19 
Re: What would the end velocity be if...?
Neilist <lattoralee@[E  2008-02-25 07:03:21 
Re: What would the end velocity be if...?
Neilist <lattoralee@[E  2008-02-25 07:04:57 
Re: What would the end velocity be if...?
Randy Poe <poespam-tra  2008-02-25 07:53:55 
Re: What would the end velocity be if...?
bibinm7@[EMAIL PROTECTED]  2008-02-25 16:01:18 
Re: What would the end velocity be if...?
bibinm7@[EMAIL PROTECTED]  2008-02-25 16:01:59 
Re: What would the end velocity be if...?
Michael Ash <mike@[EMA  2008-02-25 18:58:41 
Re: What would the end velocity be if...?
bibinm7@[EMAIL PROTECTED]  2008-02-25 16:07:44 
Re: What would the end velocity be if...?
bibinm7@[EMAIL PROTECTED]  2008-02-25 16:10:20 
Re: What would the end velocity be if...?
bibinm7@[EMAIL PROTECTED]  2008-02-25 16:13:14 
Re: What would the end velocity be if...?
finite guy <adamlewis@  2008-02-25 18:02:18 
Re: What would the end velocity be if...?
finite guy <adamlewis@  2008-02-25 18:04:05 
Re: What would the end velocity be if...?
Michael Ash <mike@[EMA  2008-02-26 00:04:07 
Re: What would the end velocity be if...?
finite guy <adamlewis@  2008-02-26 00:00:14 

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tan13V112 Thu Jul 24 16:12:42 CDT 2008.