Learn English – the difference between “disapprove” and “disapprove of”

We react to a stimulus or situation.

The dog reacted to the bell by salivating.

The preposition on would not head a phrase which refers to that which is being reacted to; it might be adverbial, for example:

The emergency team can react on a moment's notice.

The dog did not react on the first experiment.

Or on could refer to something which is affected:

These chemicals react on plastics.

From a grammatical perspective, the plastics are not the stimulus. There is a reaction when the chemicals are applied to plastics.

We could say:

These chemicals act on plastics.

But people often say that the one thing reacts on the other.

Just to put Davo's answer in as an answer, with a little more explanation...

In terms of the most essential meaning in this context, "in" and "with" have the same meaning. They both introduce adverbials indicating what it took to do what was done. "He broke the thick sheet of glass" stands as a sentence on its own, but is modified by the adverbial of manner "in one hit" or "with one hit". Both "in" and "with" can have other meanings, but here they introduce the same sort of adverbial. Adverbials of manner tell you how or in what way something is done.

However, as Davo notes, they carry different shades of meaning. "With" is more neutral than "in", as with would be more likely to be used if there is no surprise, and in makes it seem more remarkable. You can also indicate that you consider it remarkable by adding the word "just" - "in just one hit".