One definition of coercion
is: government by force.

Coercion and physical violence are not mutually exclusive.
While coercion generally refers to the use of threats, intimidation, or psychological pressure to compel an individual to act involuntarily, actual physical violence can be an extension of coercion rather than a separate concept.

Coercion involves forcing someone to act against their will through threats, intimidation, or undue pressure.
Examples: "If you do not comply, we will harm you.", Threats of economic or social destruction., Psychological manipulation, blackmail, or extreme duress.

If violence is inflicted to extract compliance, it is a form of coercion through force.
If violence is inflicted as an end in itself (e.g., for sadistic punishment or revenge), it may not be coercion but outright physical assault, torture, or abuse.
Example: "We will continue beating you until you agree to sign this document."

Torture is a subset of Coercion + Violence (it's both). It aims to force compliance or extract information through suffering.
E.g. Withholding essential medical treatment until the person agrees to submit to psychiatric intervention.