MY BATTERIES IN MY FUJIFILM S5000 RUN DOWN FAST?

Most likely a dead CCD (imager) unit. Happens to these cameras. Usually they are supplied with the lens and are expensive if ordered from Fujifilm - could be about $200-300. I wouldn't recommend using used parts because they could break down again sooner or later. I suggest you buy a new camera.
I have worked for Fujifilm.
Tom

Your memory card or internal memory may be full. I've run into situations where the card full doesn't flash on the monitor or LCD screen because there is lets say 3 gigs of memory left but the picture you are taking is 3.5gig's it won't take the picture because there isn't enough memory to put the image anywhere. Download your pictures to your computer, format your memory card and all should be good again. If you are using the internal memory you will need to obtain (buy) a memory card for your camera and download from the internal memory each picture from the memory card one by one until all the internal pictures are on the removable memory card then download these to the computer. After you have them on the computer go back into the internal memory and delete each of thse pictures and you are ready to start taking pictures once again. it took me longer to type this then the process will take to do.

Maybe battery low. Try fully charged or new batteries

It it in normal shooting mode? The hand means the shutter speed is too slow to hand hold the camera.

not a software issue it is

CCD FAILURE !

CALL Fujifilm they will do it FREE it is a known problem in thousands of camera i got my S5000 with same problem repaired FREE from FUJI just call them

BAD CCD

RATE ME WELL !

Your CCD sensor has failed. Common digital problem that uses Sony sourced CCD chips. Proffesional factory replacement of CCD is only fix or buy another physicaly damaged unit and swap CCD boards. Not hard but intricate and time consuming.

Send it to the Fujifilm camera repair center. The S5000 has a known issue with bad CCD sensors... Unless you want to do it yourself.

the problem might be inside. when cameras are dropped cable connections inside loosen. try to bring it to your local camera specialist and have it checked. if you open it yourself it might cause more damage.

What is fine no. full mean. With new batteries and a fresh card, when I turn on the camera to shoot pics, this message comes Up and no pictures can be taken.

Z3
http://www.fujifilm.com/products/digital_cameras/z/finepix_z3/images/FX_Z3_E.pdf

S5000
http://www.fujifilm.at/Support/Manuals/FPS5000Manual.pdf
you may find this site useful also
http://www.s5000.net