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Copy edited (e.g. ref. <https://en.wikipedia.org/wiki/Hydrogen> and <https://ww.youtube.com/watch?v=1Dax90QyXgI&t=17m54s>).
Peter Mortensen
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At first, as others have said,- you transfer car momentum to a whole atom system, not just to some part of it,- like electrons, nucleus, etc.

Second,- an electron is not something you can easily mess around. If you look at the semi-classical Bohr atom model, an electron goes with a tangential speed around the nucleus defined by: $$ v={\sqrt {\frac {Zk_{\mathrm {e} }e^{2}}{m_{\mathrm {e} }r}}}. $$

So for example the electron in a hydrogen atom at the ground level flies with amazing $\approx 2000 ~\text{km/s}$ speed. That's about $1\%$ of light-speed! If converted to an electron centripetal acceleration notion, gives about $10^{21}\text {g}$. Thus an atom's electrodynamical system is a very stable thing.

That said, you can push an electron out of an atom. But for doing that you need some different approach, like scattering the hydrogen nucleus with high-speed neutrons in a particle accelerator or just "stretching" a hydrogen atom in a static electric field, so that it would overcome an ionization energy of $13~\text {eV}$, or forcing a hydrogen atom to absorb such an energy photon.