Of course it uses violence; try declining the "non-violent" penalties. Even criminals don't immediately resort to physical violence, but you still know precisely why you should hand over your wallet.
Violence can also be confining someone to a jail cell, or confiscating (taking without voluntary consent) some or all of their property (e.g., imposing a fine on a person)
Your modern Australian courts must do this, to compel compliance with their decisions.
If you lose a lawsuit and fail to pay, then they just come and take your money and/or your possessions. If you attack the sheriff's deputies carting off your stuff, or assault the bank manager for having given away "your" money, then yeah, you are in for a world of hurt.