My camera turns on , but shuts off right away. I just put in a new battery, but still have the same problem.

When a camera initializes, it checks certain functions, and extends the lens. When a lens is stuck, the gears driving it are usually either stuck or stripped. Dust or sand in the lens assembly can jam the len's gears. There are some things you can do try to fix this, unless the gear(s) are actually stripped, and in that case repair is needed. Here is a web page that explains the things you can try to free the lens, and get it working again.
http://camerarepair.blogspot.com/2007/12/fixing-lens-error-on-digital-camera.html
The blog is about lens errors and stuck lens, so try the suggestions. They say about half the cameras can be fixed, trying their steps. If nothing works, the camera will have to be repaired. Make sure you get an estimate first, since the cost of repair can be sometimes be more than a new camera. Good luck, and hope this helps.