If a person is found not guilty of a crime and new evidence surface that he/she is guilty, should the accused be put on trial again?

Do if they are found not guilty, they cannot be tried again - Double Jeopardy clause

if the case is dismissed, they can be tried again

No, not in the US. We have the double jeopardy law that states that once the trial is over, and the accused is found not guilty, the state has no right of appeal to retry the person.

can't try person twice for same crime.

not allowed in America

It depends how strong the evidence is

No since we have laws that prevent double jeopardy

Yes ... if substantial material evidence is discovered. The prosecution has the burden of proving they are not violating Fifth Amendment Rights. Thus, for example, while OJ Simpson has been found not guilty, if he wrote a book confessing to the crime, that would likely be substantial material evidence.

NO that would be double jeopardy