This is the 15784th most frequent Polish word.
szynkę
"Szynkę" means "ham" in English.
In this sentence, 'szynkę' is the accusative form of 'szynka' (ham), used to indicate the direct object of the verb 'kupiłem' (I bought).
Kupiłem w sklepie szynkę na kanapki.
I bought ham at the store for sandwiches.
Here, 'szynkę' is again in the accusative case and functions as the direct object of 'kroi' (slicing). It represents the item being acted upon.
Mama kroi szynkę na cienkie plasterki.
Mom is slicing the ham into thin slices.
In this question, 'szynkę' is still in the accusative form and operates as the direct object of 'Lubisz' (Do you like). The phrase describes preference options for the object, ham.