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Groups > sci.physics.relativity > #389603
| Message-ID | <57AA2E80.6F75@ix.netcom.com> (permalink) |
|---|---|
| Date | 2016-08-09 12:26 -0700 |
| From | The Starmaker <starmaker@ix.netcom.com> |
| Newsgroups | sci.physics.relativity |
| Subject | Re: My mistake or Einstein's |
| References | <5497e551-1d89-4146-a1c6-0ddf12fa05ef@googlegroups.com> |
sepp623@yahoo.com wrote: > > This scenario of this simple problem ends up with contradictory results. Please identify the mistake. > > In this problem, I use c = 3 * 10**8 meters/second as the speed of light. > > Consider an inertial reference frame, F0, that has an object A moving along the x-axis at -2.8 * 10**8 meters/second. If this object starts accelerating in the positive x direction at a constant rate of 28 meters / second**2 as measured in F0, how long does it take for this object to reach a speed of 2.8 * 10**8 meters/second as measured in F0? When I do the calculation, I find that it takes 2 * 10**7 seconds. This based on the simple formula v = a * t > > Now, when this object accelerates from -2.8 * 10**8 meters/second to 2.8 * 10**8 meters/second at the constant rate of 28 meters / second**2 as measured in F0, how far does this object travel along the x-axis during this time interval as measured in frame F0? Since the acceleration rate is constant, I used the formula d = 0.5 * (a * t**2) to determine the distance, along with the initial velocity before the acceleration starts of -2.8 * 10**8 meters / second. This resulted in: > > d = ((-2.8 * 10**8) * (2 * 10**7)) + (0.5 * 28 * (2 * 10**7) * (2 * 10**7)) meters > > I run into a problem when I use Einstein's simultaneous events concept in conjunction with these numbers. > > > > Now in frame F0, prior to the start of any acceleration, let object B have a greater x coordinate than object A at any point in time, as they both move with velocity -2.8 * 10**8 meters/second along the x-axis of F0. And let the direction of the acceleration of both objects be in the positive x direction when the acceleration of each object starts. Per Einstein, frame F0 measures that one of the objects starts accelerating 3 seconds before the other object starts accelerating. Let the direction > > Since object A started accelerating 3 seconds before object B, object A gets closer and closer to object B as function of time. During the acceleration as the velocity of object A goes from -2.8 * 10**8 meters/second as measured in F0 to 2.8 * 10**8 meters/second, how close does object A get to object B as measured in frame F0? Previously I computed that during that acceleration object A moves a distance of > ((-2.8 * 10**8) * (2 * 10**7)) + (0.5 * 28 * (2 * 10**7) * (2 * 10**7)) meters > > During that same time interval, with object B starting its acceleration 3 seconds later, object B moves a distance of > ((-2.8 * 10**8) * (2 * 10**7)) + (0.5 * 28 * ((2 * 10**7) - 3) * ((2 * 10**7) - 3) meters > > The difference between A's change of position and B's change of position during that time interval is: > difference in position = (0.5 * 28) * (12 * 10**7 - 9) meters > or approximately 16.8 * 10**8 meters > > So object A moves 16.8 * 10**8 meters closer to object B during this time interval. But using the transform equations, since F1 observers measured the separation between object A and object B to be sqrt(3) light-seconds, observers in frame F0 measure the separation between object A and object B before the acceleration starts to be: > 2 * sqrt(3) * 3 * 10**8 = 10.39 * 10**8 meters > > So object A crashes into object B during this acceleration. However frame F1 measures that object A and object B always have a distance between them of > sqrt(3) * 3 * 10**8 meters = 5.2 * 10**8 meters > > So frame F1 observers say the two objects never crash.The initial velocity of object A equals the initial velocity of object B, the acceleration of both objects started simultaneously as measured by observers in F1, the acceleration pattern of object A is identical to the acceleration pattern of object B, and their initial separation was 5.2 * 10**8 meters and always remains constant. > > So, where is the error? > > Thanks > David Seppala > Bastrop TX The error is the speed of light. When light acts like a wave...it slows down. When light acts like a particle...it speeds up. If you take 20 people and you tell them to hold hands and run...it kind of slows them down...but if one person runs without holding hands...he moves faster than the wave. Now, what is the speed of light if it changes from wave to particle between here and Pluto?? Do you account for the change in behavior of the light?
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My mistake or Einstein's sepp623@yahoo.com - 2016-08-09 11:04 -0700
Re: My mistake or Einstein's The Starmaker <starmaker@ix.netcom.com> - 2016-08-09 12:26 -0700
Re: My mistake or Einstein's pcardinale@volcanomail.com - 2016-08-09 12:57 -0700
Re: My mistake or Einstein's pcardinale@volcanomail.com - 2016-08-09 13:04 -0700
Re: My mistake or Einstein's "Paul B. Andersen" <relativity@paulba.no> - 2016-08-09 22:39 +0200
Re: My mistake or Einstein's sepp623@yahoo.com - 2016-08-09 13:56 -0700
Re: My mistake or Einstein's "Paul B. Andersen" <relativity@paulba.no> - 2016-08-10 10:51 +0200
Re: My mistake or Einstein's JanPB <filmart@gmail.com> - 2016-08-09 15:15 -0700
Re: My mistake or Einstein's sepp623@yahoo.com - 2016-08-09 15:38 -0700
Re: My mistake or Einstein's JanPB <filmart@gmail.com> - 2016-08-09 15:53 -0700
Re: My mistake or Einstein's sepp623@yahoo.com - 2016-08-09 16:21 -0700
Re: My mistake or Einstein's JanPB <filmart@gmail.com> - 2016-08-09 23:05 -0700
Re: My mistake or Einstein's Maciej Woźniak <mlwozniak@wp.pl> - 2016-08-10 11:56 +0200
Re: My mistake or Einstein's bartekltg <bartekltg@gmail.com> - 2016-08-10 14:17 +0200
Re: My mistake or Einstein's The Starmaker <starmaker@ix.netcom.com> - 2016-08-10 01:39 -0700
Re: My mistake or Einstein's The Starmaker <starmaker@ix.netcom.com> - 2016-08-09 17:26 -0700
Re: My mistake or Einstein's sepp623@yahoo.com - 2016-08-09 17:38 -0700
Re: My mistake or Einstein's The Starmaker <starmaker@ix.netcom.com> - 2016-08-09 17:53 -0700
Re: My mistake or Einstein's sepp623@yahoo.com - 2016-08-09 17:59 -0700
Re: My mistake or Einstein's The Starmaker <starmaker@ix.netcom.com> - 2016-08-09 18:26 -0700
Re: My mistake or Einstein's sepp623@yahoo.com - 2016-08-09 19:05 -0700
Re: My mistake or Einstein's moroney@world.std.spaamtrap.com (Michael Moroney) - 2016-08-10 02:59 +0000
Re: My mistake or Einstein's The Starmaker <starmaker@ix.netcom.com> - 2016-08-09 20:06 -0700
Re: My mistake or Einstein's Sylvia Else <sylvia@not.at.this.address> - 2016-08-10 13:16 +1000
Re: My mistake or Einstein's sepp623@yahoo.com - 2016-08-09 21:11 -0700
Re: My mistake or Einstein's Sylvia Else <sylvia@not.at.this.address> - 2016-08-10 14:15 +1000
Re: My mistake or Einstein's sepp623@yahoo.com - 2016-08-09 21:31 -0700
Re: My mistake or Einstein's Sylvia Else <sylvia@not.at.this.address> - 2016-08-10 14:48 +1000
Re: My mistake or Einstein's sepp623@yahoo.com - 2016-08-09 22:56 -0700
Re: My mistake or Einstein's The Starmaker <starmaker@ix.netcom.com> - 2016-08-10 01:36 -0700
Re: My mistake or Einstein's Sylvia Else <sylvia@not.at.this.address> - 2016-08-10 20:35 +1000
Re: My mistake or Einstein's bartekltg <bartekltg@gmail.com> - 2016-08-10 14:04 +0200
Re: My mistake or Einstein's Maciej Woźniak <mlwozniak@wp.pl> - 2016-08-10 14:29 +0200
Re: My mistake or Einstein's bartekltg <bartekltg@gmail.com> - 2016-08-10 15:29 +0200
Re: My mistake or Einstein's sepp623@yahoo.com - 2016-08-10 06:36 -0700
Re: My mistake or Einstein's Sylvia Else <sylvia@not.at.this.address> - 2016-08-11 11:16 +1000
Re: My mistake or Einstein's Maciej Woźniak <mlwozniak@wp.pl> - 2016-08-10 15:36 +0200
Re: My mistake or Einstein's bartekltg <bartekltg@gmail.com> - 2016-08-10 15:49 +0200
Re: My mistake or Einstein's Maciej Woźniak <mlwozniak@wp.pl> - 2016-08-10 16:14 +0200
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