Answer and Explanation:
Paine uses personification to show how America has the capacity to be happy to get rid of foreign domination. As we know America is a continent (although Paine is referring to the country, USA) and therefore it is an inanimate being, but the ability to be happy is something unique to living beings. When Paine uses this ability to describe a state of America, he is using personification to show how happy American citizens will be with an independent and self-sufficient America that can tackle its own challenges without being dependent on anyone, being happy.
This is a simile as it compares two things using the word like. It compares her running across the grass to a cheetah chasing its prey, implying she is running very fast