Why does shaking soda release bubbles?

Factual Questions
1

I know there’s carbonation in a liquid that can get out via nucleation sites.

But what is there about the shaking of a liquid that causes the rush of fizz?

Two experiments;

I open a bottle of seltzer that was sitting on the shelf. I usually get a small amount of bubbling. However if I open a different bottle that has recently been shaken or dropped, and allowed to sit for a few seconds, I get far more fizz.

Next - We’ve all done this; put your thumb over the end of an open bottle of (not stale) soda. Give a good shake and now squirt your friends!

What exactly is going on?

2

Shaking creates the equivalent of a nucleation by breaking up a large pocket of CO2 into tiny bubbles. The Mentos drop without the Mentos!