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We have Newtonian Physics saying $F=ma$, According to the 'Mass in special relativity' the mass changes according to $$m= \dfrac{m_0}{\sqrt{1-\frac{v^2}{c^2}}}.$$ So, our $$F=\dfrac{m_0}{\sqrt{1-\ … My mass doesn't become '$\infty$' for sure. What will be the correction factor if my acceleration is not uniform. …

I'm following a special relativity course and I'm trying to understand how the invariant mass works. In particular I don't get how the following passages work. … We have a collision between two particles and I get that the invariant mass is the sum squared of the 4-momenta. …

Relativity). … How does special relativity explain those other energies, like binding energies? I mean, they simply have mass even though nothing is 'moving'. …

While reading David Morin’s book on Special Relativity I encountered an interesting questions, but I can’t understand its solution. (Set $c=1$ for simplicity). … The bucket leaks mass at a rate $dm/dx=M/l$. Therefore, in a length $dx$ the bucket leaks $dm=Mdx/l$ mass. How to get from here to $Edx/x$ is unclear to me. …

We know that kinetic energy is (or has) mass in special relativity. … Imagine the following scenario: Two point masses are measured to have rest masses $m_1$ and $m_2$ respectively when not in each other's influence. …

Does this not mean that the concept of mass has changed in special relativity and now is a measure of all energy except kinetic energy of an object? … So I am guessing that the old concept of mass from classical mechanics is an approximation to the new concept of mass in special relativity? …

Is the mass of a object at rest defined by $$E=mc^2$$ where $m$ is the rest mass. … I.e. does the rest mass include every thing from thermal to gravitational potential energy and every other possible energy that it could have at rest. …

I don't see much mention of the center of mass in discussions of special relativity. … I'm referencing the answer posted at the below link, since I'm still searching for the papers the answerer linked: Is the center of mass in general relativity equal to the center of mass in newtonian gravity …

According to special relativity mass doesnt add up like we think it does. That is, a system of 2 protons might not necessarily have a system mass of 2*(mass of one proton). … (need not be just protons or any other tiny particle) I have heard about the water tumbler experiment in which someone tried to heat it up and then measure the change in weight (mass of heat) but was …

I have a question regarding how force on a body works in the framework of special relativity. … As far as I am aware, the equation for force in special relativity is: $$F=m\alpha$$ Where $\alpha$ is the proper acceleration. …

Instead – it was argued – it is impossible to transcend the speed of light by any massive object, because, according to Special Relativity, mass increases with speed and becomes infinite at $c$, which … Can I use Special Relativity to predict increase in energy cost of further acceleration over increase of my speed relative to the star? …

What is the role of the (mass) Casimir invariant of the algebra of relativistic symmetries in Galilean and what it's actual role in special relativity? …

the center of mass" be made in special relativity? … Of course, there are no rigid bodies in special relativity, and there is no 4-vector analog to center of mass, but that is of no importance here. …

It seems that all books about special relativity only include discussion about perfectly elastic and perfectly inelastic collisions. … My question is: how do we formulate newton's experimental law in special relativity? To be more specific, let particles $1,2$ collide to form particles $3,4$. …

I've seen it said before that we often ignore potential energy in relativity because it can be included in the mass term. … While center of mass is not talked about often in relativity, I understand that it does have a definition, though obscure. …