B Exploring Mass-Energy Equivalence: Impact of Heating on Mass Increase

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Heating a body does result in a slight increase in mass due to mass-energy equivalence, as expressed by E=mc^2. This effect is minimal because the speed of light (c) is a large number, making the mass change negligible. The concept of mass is complex, as it is not solely dependent on the quantity of matter but also on energy and momentum, particularly in relativistic physics. The invariant mass provides a more consistent definition across different frames of reference, distinguishing it from the concept of relativistic mass. Understanding these principles requires a grasp of both classical and advanced physics concepts.
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Does the mass-energy equivalence mean that if we heat a body then its mass will increase?
 
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Yes. Google will find an explanation.
 
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I should add it's a very small effect. E=mc^2 so m=E/c^2 and c is big.
 
So this means that the mass is not only dependent on the quantity of matter in that object, right?
 
Well, I think it's hard to strictly and generally define what "quantity of matter" is. I would say that is a good non-relativistic heuristic about what mass is. In relativistic physics mass is defined by m=\frac{1}{c^2}\sqrt{E^2-p^2c^2}
E and p are of course frame-dependent, but it turns out that m is not, so it is a good and non-problematic generalisation of Newtonian mass. Contrary to what is known as "relativisitc mass"...
 
comparing a flat solar panel of area 2π r² and a hemisphere of the same area, the hemispherical solar panel would only occupy the area π r² of while the flat panel would occupy an entire 2π r² of land. wouldn't the hemispherical version have the same area of panel exposed to the sun, occupy less land space and can therefore increase the number of panels one land can have fitted? this would increase the power output proportionally as well. when I searched it up I wasn't satisfied with...

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