Galaxy 5 Shut Down & Won't Power Up

I got a Samsung Galaxy 5 today and started it up. It worked fine at first, but after I initially connected it to the computer and started keis, it said it was connected and I had the option of transferring files. Things seemed to work fine until I disconnected, then the phone started locking up once it was not in use. I tried removing the battery (as suggested here) and that worked the first time, now it seems to be totally dead. I cannot get it to power up regardless of how I try (removed battery and let it sit a while, plugged into wall charger, plugged into computer, nothing).

Is there anything to do to get this phone to power up? I have not downloaded any apps yet or done any other upgrades. HELP!

 

Nobody has any ideas?