PeroK's latest activity

It could be called an asteroid belt.

Shouldn't seatbelts be mandatory when travelling by asteroid?

Here's an analysis. We start with a more general equation:$$a^x + x = b$$$$(b - x)a^{-x} = 1$$$$(b-x)a^{b-x} = a^b$$We want to use the...

Here is my recent solve checking if I understand it now: Proton's total energy now is kinetic plus rest so E+mc^2, then conservation of...

Moved to other thread.

Moved to other thread.

Unless you are using an old textbook, the rest mass ##m## is the mass in modern physics. Relativistic mass is no longer used. In any...

IMHO 2.

First, for relativistic collisions it is far better to work using mass, energy and momentum. The key equations involve these...

I don't think it is correct to write the momentum of the proton as ##mv## because that is not the relativistic expression. You are given...

This is the critical assumption/characteristic of the game. First, Monty's pick is not random (he never reveals the car); and second...

I love threads like this. Thank-you, @PeroK !

If I use Mathematica to solve ##a^b=b^a## for ##b## as a function of ##a## then I get $$b=-\frac{a \ W_0\left(-\frac{\ln(a)}{a}...

The general solution must be transcendental, similar to the Lambert W-function.

Mathematica has a function called "RegionPlot" that makes them very easy. Without the "pretty" options for the labels and the gridlines...