Pritt Balagopal

Thank you

Oh okay

then what does it mean?

oh

and hi hows you

When they say that mass increases with speed in special relativity, is it inertial mass or gravitational mass?

Hi

Is this wrong?

with propotionality constant being $\frac{1}{\sqrt{1-\frac{v^2}{c^2}}}$

and that makes sense

Or is proportional to original mass and the amount by which it is multiplied is a function of $v$ alone

So it either means mass is constant irrespective of speed

In the end, both approaches should result in the same force

Likewise from the frame of B, A would be moving at speed v, so then $m_A$ would be higher.

That I understood, I dont object to high speed object turning into black holes

If we try to measure gravitational attraction at an instant, from the frame of A, we could get B moving at speed v, so $m_B$ would have a greater mass.

Even then, considering two masses moving at a speed v relative to each other

The answer also describes the basic principle of special relativity: all inertial frames are equivalent

@JohnRennie but surely, we can measure the gravitational force of an object (perhaps by using the time period of an orbit), and compare it for different speeds.

Ahh

Since gravitational attraction is proportional to the mass of the particles

@PM2Ring Why is there an ambiguity on whether if mass increases or not? If mass increases, we can measure the change in gravitational attraction, no?

To know that sound can travel as fast as light

The link about neutron stars was interesting

Wow

Thank you so much

Ahh that makes sense

Why not?

But for a sound wave?

Since their mass increases to infinity as speed of $c$ is approached

I can understand for particles with mass

I know everyone says "nothing can travel faster than light, period"

Oh

Like if the bulk modulus so large that sound velocity exceeds $c$?

Can sound travel faster than light in a vacuum through a really rigid material?

Hi

atleast you can multiply $x^2$ on both sides to get a cubic polynomial in $x$.

Its polynomial in x

I dont think thats implicit

Oh okay

This is it

chrome.google.com/webstore/detail/se-chat-mathjax/…

Hold on lemme find the link

@jacob1729 You need the chrome extension

I'm sorry this is really confusing :(

what does "phase depending on time" supposed to mean

As far as I know, phase is like the "angle of starting" for a wave. Like in a light wave, the phase is what denotes how the wave looks when shifted longitudinally, which depends on the magnitude at wave beginning.

So the phase increases exponentially with time

Ahh okay

Ohh okay