What was the unions goal when the battle of bull run began

The goal of the union was to CAPTURE the CONFEDERATES who has left the Union

Explanation:

The battle of the Bull Run also knows as the Manassa was categorized as the first major civil war. This war was fought in July 1861 between the Unions and the Confederate

However, the Bull Run battle was a result of some members of the south who left the union due to slavery  to form  the confederate. Brigadier General Irvin McDowell leads the army of the union while Brigadier General P.G.T. Beauregard leads the confederate. There were several casualties who we killed during the war. The tactics of the confederate gives them the edge over the Unions of armies to win the war.

social contract theory basically says that all individuals are born equal, and provided a god given right to consent to be governed. american government is based of this

thomas hobbes and john locke said that we are selfish, individualistic, and constantly at war with each other, therefore we need to be controlled. 

government is defined as the legitimate use of force to control human behavior within territorial boundaries, here comes in hobbes and locke.

hobbes takes the part about controlling human behavior. while locke takes the part of legitimate use of force, since force is not legitimate unless there is consent of the people. 

there are basically 3 goals of the government: 1) maintain order by protecting life and property. 2) providing public goods, those which are typically not provided by the public sector, such as roads and education. 3) promote equality be it political, opportunist or outcome equality.