It depends on the situation.. If you scratch my car or rip the shirt you borrowed.. crash my computer on accident.. something like that then sorry is just fine. If you lie to me.. then sorry will not likely be enough. If you can sit there and lie to my face then I feel that your sorry is probably not sincere. In that case it will take showing me that you are sorry.. but honestly, that really depends on the kind of lie and who the person is. If it is someone I am dating seriously then they would have to show me. If it is just some random person then I won't trust them and probably won't spend that much time around them. I am brutally honest and I expect that from others, so when that trust is broken I feel betrayed.