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Sorthal
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1. How do we know that objects mass increase as they approach the speed of light
2. How did whoever figured this out do so
2. How did whoever figured this out do so
Sorthal said:1. How do we know that objects mass increase as they approach the speed of light
2. How did whoever figured this out do so
Sorthal said:1. How do we know that objects mass increase as they approach the speed of light
I hear from somewhere that the Universe is expanding at speeds greater than the speed of light. Does that count?phinds said:traveling at various speeds up to almost the speed of light
adjacent said:I hear from somewhere that the Universe is expanding at speeds greater than the speed of light. Does that count?
http://en.wikipedia.org/wiki/Faster-than-light#Universal_expansion
atyy said:You will still find "relativistic mass" as a concept in modern materials like Feynman lectures http://www.feynmanlectures.caltech.edu/I_toc.html
http://www.einstein-online.info/elementary/specialRT/emc is a quite readable presentation of experiments in which relativistic mass has to be taken into account.
Because energy and relativistic mass are different names for the same quantity, "mass" in a relativistic context is nowadays most often taken to mean the rest mass or invariant mass.
atyy said:You will still find "relativistic mass" as a concept in modern materials like Feynman lectures
haha. I guess I need more practise with English.phinds said:"Count" in what sense?
How does the energy increase?xox said:Mass doesn't "increase", total energy, [itex]E=\frac{m_0c^2}{\sqrt{1-(v/c)^2}}[/itex] is what increases.
Mass, [itex]m_0[/itex], is invariant
Sorthal said:How does the energy increase?
Sorthal said:How does the energy increase?
Sorthal said:So basically the acceleration gives it the energy increase?
xox said:[itex]E=\frac{m_0c^2}{\sqrt{1-(v/c)^2}}[/itex]. Calculus shows that when v increases, E increases.
phinds said:Mathematically, that is the most convenient way of interpreting that equation but as I pointed out, that is not what happens physically. The energy has to increase for the speed to increase, otherwise you have cause and effect backwards.
phinds said:the way you've stated it, there would have to be a spontaneous increase in speed and that would CAUSE the energy increase, which is not how it works.
DrStupid said:Energy increases according to [itex]\dot E = \vec F \cdot \vec v[/itex]. Thus when starting from rest the energy can't increase if the speed doesn't increase first.
DrStupid said:Energy increases according to [itex]\dot E = \vec F \cdot \vec v[/itex]. Thus when starting from rest the energy can't increase if the speed doesn't increase first.
phinds said:So you are saying that the speed increases magically, without the application of any force.
Nugatory said:There's no "first" here - they increase together smoothly from zero in the idealized case.
Let's leave that equation and come to this ##E_k=\frac{1}{2}mv^2## (The kinetic energy equation)DrStupid said:No, I'm saying energy isn't increasing without speed.
Mass at relativistic speeds refers to the concept that an object's mass increases as its velocity approaches the speed of light. This phenomenon is described by Einstein's theory of special relativity.
According to special relativity, the mass of an object increases as its velocity increases. This is due to the fact that the energy of an object is directly proportional to its mass, and as an object's velocity increases, so does its energy.
No, mass is not infinite at the speed of light. According to special relativity, an object's mass would approach infinity as its velocity approaches the speed of light, but it would never actually reach that point. This is because an infinite amount of energy would be required to accelerate an object to the speed of light.
Yes, an object's mass increases with acceleration. This is due to the fact that acceleration is a change in velocity, and therefore, an increase in the object's energy. As an object's energy increases, so does its mass according to special relativity.
The implications of mass at relativistic speeds are significant in the field of physics and have been confirmed through numerous experiments. This concept helps us understand the behavior of objects at high velocities, such as particles in particle accelerators and the behavior of objects in space. It also has practical applications in technologies such as GPS systems and satellite communications.