Questions about example sentences with, and the definition and usage of "Forcibly"

A: They mean almost the same thing. The main difference is that "forcibly" sometimes implies that there is resistance to the action that is being done forcibly. "Forcibly" can also emphasize that the action is being done in a violent manner. But that is not always the case.

Examples:
"The farmer forcibly restrained the angry pig."
"The invaders forcibly broke through the gates of the walled city."

You could also say "forcefully" for both of these examples and it would still be correct. But if we say "forcibly", we emphasize that the pig is resisting the farmer, and the city is resisting the invaders.