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#1
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hi,
In the formula F=GM1M2/R^2 there is the multiplier G. Why is there no one in the formula E=MC^2 ? I presume that the units of E,M and C already existed before the formula was known. Maybe this is a stupid question but i like to know the answer. Thanks for any response |
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#2
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andreas:
hi, In the formula F=GM1M2/R^2 there is the multiplier G. Why is there no one in the formula E=MC^2 ? I presume that the units of E,M and C already existed before the formula was known. Maybe this is a stupid question but i like to know the answer. Thanks for any response I don't understand the question. |
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#3
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andreas wrote:
In the formula F=GM1M2/R^2 there is the multiplier G. Why is there no one in the formula E=MC^2 ? I would call c² the multipier in E=mc². Netowns law of gravity tells us how the force depends on distance and masses of bodies. To make the units match we have to multipy with G. Einsteins energy mass relation tells us how the (rest-)energy of a body depends on the (rest-)mass. Here we have to multipy with c² to equal the units.. Both G and c are fundamental constants of nature. |
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#5
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Dear Theo Wollenleben:
"Theo Wollenleben" wrote in message ... andreas wrote: In the formula F=GM1M2/R^2 there is the multiplier G. Why is there no one in the formula E=MC^2 ? I would call c² the multipier in E=mc². Netowns law of gravity tells us how the force depends on distance and masses of bodies. To make the units match we have to multipy with G. Einsteins energy mass relation tells us how the (rest-)energy of a body depends on the (rest-)mass. Here we have to multipy with c² to equal the units.. Both G and c are fundamental constants of nature. Good response! David A. Smith |
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#6
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"andreas" wrote in message ...
hi, In the formula F=GM1M2/R^2 there is the multiplier G. Why is there no one in the formula E=MC^2 ? I presume that the units of E,M and C already existed before the formula was known. Maybe this is a stupid question but i like to know the answer. Thanks for any response No it is not a silly question. The notation 'c' or what has become known as the 'speed of light' was originally called the Equation of Light.There is a wonderful story behind it despite its demotion to mathematical notation and a thorough understanding of the principles behind it make the discussions in this forum irrelevent. Apologies for a very truncated history and more extensive material can be found in Bernard Cohen's small book. http://dibinst.mit.edu/BURNDY/Online...mer/index.html It did not take Galileo long to figure out the usefulness of the newly discovered satellites of Jupiter insofar as most scientists at the time were occupied with finding terrestial longitudes.In other words close attension was paid to the motion of the satellites when they appeared and dissapeared behind Jupiter. It became apparent that the innermost satellite - Io proved an exception for sometimes it appeared to move slower and then would speed up as determined by when it reappeared behind Jupiter. http://www.planetary.org/html/news/a...s/bigjupio.jpg What Roemer did was assume that Io's motion in reality is constant and attributed the anomalous motion to a widening and shortening of the distance between Earth's and Jupiter's heliocentric orbits. http://history.nasa.gov/SP-349/p6c.jpg As the planets shorten the distance between each other,Io appears to speed up and likewise as they widen Io appears to slow down.The effect is witnessed as an illusion for the cause and effect is not a property of light itself nor of the motions of Io but simply a matter of turning your gaze to the orbits of Jupiter and Earth where it is resolved geometrically. You cannot square the speed of light,nor add to it nor subtract from it,it is a wonderful expression of clear thinking on the part of Roemer and it should be understood as such. ------------------------------------------------------------------------------ This represented the highest form of refinement that astronomy had up to then attained,within a year of the discovery in 1676 things fell apart,first owing to Flamsteed,then Newton building on Flamsteed's error and finally Bradley's poor reasoning in respect to finite light distance. Most notably,the clear thinking of Roemer's method and insight fell victim to Newton's scrambling of the precepts where they remain to this day. "Some inequalities of time may arise from the Excentricities of the Orbs of the Satellites; [etc.]... But this inequality has no respect to the position of the Earth, and in the three interior Satellites is insensible, as I find by computation from the Theory of their Gravity." Optics 1704 The astronomical illusion of anomalous motion once expressed by the Equation of Light is just another letter that can be pushed around like pi or Phi,their geometrical meaning are now absolutely anonymous as the physicists go about their ballistic business without apologies or remorse. Ask them what c^2 means and they will say it is just a very large number with no association with light, but then if you have to call that concealment 'genius' what else could you call into question.In the history of the investigation of physical and celestial phenomena a wilful holocaust like the present one was never supported by so many even as the history of clocks and light and their respective relationship to geometry and astronomy is so well documented. The effect will be a weakening of western civilisation for no heritage,no matter how strong,could support the dilution of concepts from one generation to the next.The short term ability to avoid the necessary astronomical corrections is offset by the realisation that future generations will fare even worse as the disciplines of astronomy and geology fall into stagnation and fundamentalism. On the positive side,astronomy and geology,both representative in their own way of the recorded history of cosmological and planetary evolution,remain intact behind the dross of the 20th century and back further into Newtonian ballistics.It remains to be seen whether this delicate moment passes towards more stable views or a continuation of the descent of creatures into their own monolithic worlds. |
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#7
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"Oriel36" wrote in message om... | "andreas" wrote in message ... | hi, | In the formula F=GM1M2/R^2 there is the multiplier G. | Why is there no one in the formula E=MC^2 ? | I presume that the units of E,M and C already existed before the formula was | known. | Maybe this is a stupid question but i like to know the answer. | Thanks for any response | | No it is not a silly question. | | The notation 'c' or what has become known as the 'speed of light' was | originally called the Equation of Light.There is a wonderful story | behind it despite its demotion to mathematical notation and a thorough | understanding of the principles behind it make the discussions in this | forum irrelevent. | | Apologies for a very truncated history and more extensive material can | be found in Bernard Cohen's small book. | | http://dibinst.mit.edu/BURNDY/Online...mer/index.html | | It did not take Galileo long to figure out the usefulness of the newly | discovered satellites of Jupiter insofar as most scientists at the | time were occupied with finding terrestial longitudes.In other words | close attension was paid to the motion of the satellites when they | appeared and dissapeared behind Jupiter. | | It became apparent that the innermost satellite - Io proved an | exception for sometimes it appeared to move slower and then would | speed up as determined by when it reappeared behind Jupiter. Today we would refer to that as doppler-shift, but Doppler had yet to be born. | | http://www.planetary.org/html/news/a...s/bigjupio.jpg | | What Roemer did was assume that Io's motion in reality is constant and | attributed the anomalous motion to a widening and shortening of the | distance between Earth's and Jupiter's heliocentric orbits. As the distance between Earth and Jupiter decreases, the period of the orbits of its moons seems to be reduced. | | http://history.nasa.gov/SP-349/p6c.jpg | | As the planets shorten the distance between each other,Io appears to | speed up and likewise as they widen Io appears to slow down.The effect | is witnessed as an illusion for the cause and effect is not a property | of light itself nor of the motions of Io but simply a matter of | turning your gaze to the orbits of Jupiter and Earth where it is | resolved geometrically. 1/t (apparent) = 1/t (true) * (c+v) / c where (c-v) = dx/dt in the line of sight between the satellite and the observer, relative to the observer, and c is the velocity of light along the same line, relative to the satellite. | | You cannot square the speed of light,nor add to it nor subtract from | it,it is a wonderful expression of clear thinking on the part of | Roemer and it should be understood as such. We have of course added to the speed of light in the equation above, giving the lie to "you cannot". Also we can square it. 1/t (apparent) = sqrt( 1/t (true)^2 * (c+v)^2 / c^2) However, there is no need in this case. 1/t (apparent) = 1/t (true) * (c+v) / c is a wonderful expression of clear thinking on the part of Doppler and it should be understood as such. | | ------------------------------------------------------------------------------ | | This represented the highest form of refinement that astronomy had up | to then attained,within a year of the discovery in 1676 things fell | apart,first owing to Flamsteed,then Newton building on Flamsteed's | error and finally Bradley's poor reasoning in respect to finite light | distance. And with that nonsense Gerald Kellerher departs from the remainder of humanity and embarks on his own agenda, trying to convince the world that he alone is correct, the universe revolves around the Earth once a year and a sidereal day lasts 24 hours. To date, not one person has yet accepted Kellerher's geocentric universe, akin to Tycho Brahe's theory of a solar system that revolved around the sun but the sun revolved around the Earth. Were Kellerher not so stubbornly obtuse and were prepared to listen it could be explained to him, but alas his mind is made up and he alone will continue to believe his own fallacy to the end of his days. Androcles. |
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#8
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"andreas" wrote in message ... hi, In the formula F=GM1M2/R^2 there is the multiplier G. Why is there no one in the formula E=MC^2 ? I presume that the units of E,M and C already existed before the formula was known. Maybe this is a stupid question but i like to know the answer. Thanks for any response There is no need for a conversion factor because you can always get Newton's energy by: W = F*D = M*A*A*T^2 = M*(AT)^2 = MV^2 = MC^2 to within a constant. You need the dynamic effect of M*A and the kinematice one of AT^2 and no other help. John C. Polasek |
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#9
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In sci.physics.relativity, andreas
wrote on Tue, 07 Sep 2004 05:52:49 GMT : hi, In the formula F=GM1M2/R^2 there is the multiplier G. Yes, the Newtonian gravitational constant, about 6.674215 * 10^-11 m^3/(kg * sec^2). Why is there no one in the formula E=MC^2 ? But there is. c^2. I presume that the units of E,M and C already existed before the formula was known. Maybe this is a stupid question but i like to know the answer. Thanks for any response Your question isn't all that clear; perhaps you can rephrase? -- #191, It's still legal to go .sigless. |
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#10
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thanks to all for the responses but my question is in more detail :
why not f.e. e= 0.1574864...mc^2 where 0.1574864... is a constant that is mesured "andreas" schreef in bericht ... hi, In the formula F=GM1M2/R^2 there is the multiplier G. Why is there no one in the formula E=MC^2 ? I presume that the units of E,M and C already existed before the formula was known. Maybe this is a stupid question but i like to know the answer. Thanks for any response |
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