Can I compute the mass of a coin based on the sound of its fall?

One of the replies briefly mentions coffee cup vibrations.

There's a fun Numberphile episode just about this topic. https://www.youtube.com/watch?v=MfzNJE4CK_s

By far, it is my favorite trick for impressing dining company.

Very cool! Also: might not absolute amplitude (volume) give away a lot of mass information relative to a control mass? "The bigger they are, the louder they fall" kinda deal?

Didn't they account for that? "Since the energy of a coin, if it's falling from a fixed height, is proportional to its mass, I would expect the sound energy to be proportional to its mass as well. So, this is what I did. I integrated the power spectral densities and fit them to a linear relationship with respect to the mass. I obtained:"

What's the application? What is it good for?