Prove...E=mc^2.........
Answers
Answer:
proved
Step-by-step explanation:
Introduction: The "Proof" of Special RelativityWhen Einstein first proposed his Special Theory of Relativity in 1905 few people understood it and even fewer believed it. It wasn't until 1919 that the Special Theory was "proved by inference" from an experiment carried out on his General Theory of Relativity. Physicists now routinely use relativity in experiments all over the world every day of the year. However, many of these experiments are highly specialised and usually require a great deal of knowledge and training in order to understand them. So what evidence is there for the general public? Probably the most spectacular "proof" is nuclear weapons. These pages are not about the morality of such weapons (but that's not to say that the question of their existence or use is not an important one). However, whether one "likes" nuclear weapons or not no one would deny that they exist.Nuclear weapons (such as A- and H-bombs) are built on one principle; that mass can be turned into energy, and the equation that exactly predicts that conversion is E = mc2. So what has that to do with Special Relativity? The answer is that E = mc2 is derived directly from Special Relativity. If relativity is wrong, then nuclear weapons simply wouldn't work. Any theory or point of view that opposes Special Relativity must explain where E = mc2 comes from if not relativity. Other models of relativity that contain E = mc2 exist but here we are concerned with the standard model as proposed by Einstein.This page explains, with minimal mathematics, how E = mc2 is derived from Special Relativity. In doing so it follows the same theoretical arguments that Einstein used.The Two PostulatesThe whole of special relativity is based on just two rules, or as they are called in physics, postulates:Postulate I: The principle of relativity:The laws of physics are the same in all inertial frames.Postulate II: The principle of the constancy of the speed of light:The speed of light (in a vacuum) has the same constant value c in all inertial frames.Jumping from these postulates to E = mc2 requires a little work. In order to understand the following arguments it helps to be familiar with Special Relativity, and in particular how moving at very high speeds dramatically changes the properties of mass and time. If you aren't familiar with these ideas you can read about the basics here.An Apparent Increase in Mass due to SpeedOne of the consequences of Special Relativity is that mass appears to increase with speed. The faster an object goes, the "heavier" it seems to get. This isn't noticeable in everyday life because the speeds we travel at are far too small for the changes to be apparent. In fact, an object needs to be moving at an appreciable percentage of the speed of light (186,300 miles per second, or 300,000 kilometres per second) before any apparent mass increase starts to become noticeable in everyday terms.Where:m = relativistic mass, i.e. mass at the speed it is travelling.m0 = "rest mass", i.e. mass of object when stationary.v = speed of object.c = speed of light.If we examine a table of representative value
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E stands fr energy, m for mass and c fr velocity of light in vacuum.
It proved by Einstein in 1905.
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