Explain how the ideas of the American Revolution helped foster and also eliminate slavery after the
war.

The American Revolution was the first revolutionary manifestation worldwide in which the liberal ideas of thinkers such as Locke or Rousseau were wielded as the main ideological components. Thus, the conception of the natural rights to life, liberty and the pursuit of happiness became the cornerstone on which the entire revolutionary movement was built.

Especially, the right to freedom (from a civil as well as a political and economic sense) was the basis of the colonists' claims to King George, since they considered that he constantly violated their rights and curtailed their individual freedoms.

Thus, once America was constituted as an independent nation with these rights as the fundamental ideological base of society, the idea of freedom began to transcend from the simple expression of will towards a stronger claim for equality among all inhabitants, based on the natural right to freedom that originated in human nature itself. For this reason, these liberal ideas were the ones that gave rise to the movements originated in the north of the nation, which sought the abolition of slavery based on the undeniable human condition of African Americans and their rights as human beings.

they made rome the dominant power in the mediterranean.

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.