battery light on, but nobody is home.

I (brilliantly) taped my naked GoPro Hero 3 to the handle of a throwing axe. Long story short, the camera body itself sustained a severe dent, damaging the battery. The camera seemed to work, at least I was able to retrieve the fateful event from the memory card. I bought a new battery, which appears to charge, but the camera no longer works. I am wondering I can do. Is this camera salvageable?