macbook not turning on

That also happened to me when I last tried to wake my charged computer from sleep.A friend said the battery had been used for long enough,you either replace it with a new one or use the adaptor all the time from now on.That's what I do now.

its not really an exchange program, but a swap of your hard drive. Some were found to be defective. I believe if your hard drive was made by Seagate. I did not have the seagate drive and I had the 2nd gen macs but my hard drive failed on me 2 or 3 months after i bought it.
Look under your serial ATA if you are running a seagate drive and take it in for a swap.

To get information about your battery's health, go to the Apple Menu > About This Mac > More Info. Under the "Hardware" heading, click on "Power." Battery info will be displayed in the right pane; look for "Charge Information" and "Health Information." If you could post back with that info we can be more helpful.

I am having similar problems. It started with the power adapter wire shorting where it exits the white box (transformer?). My battery went dry as I accessed the net looking for a replacement. With a borrowed adapter I was able to get online with Apple Support and order a new MagSafe. $80.! "About this Mac" showed at that time that my battery was in perfect condition, with almost 300 of something, (a term I can't recall). The battery was working quite well for me until the adapter incident.
Now I am using the new adapter and have no other issues at all except that the battery doesn't work. I have reinstalled the operating system several times with different results, either no battery icon or an icon with a black X. I currently have an icon with X. I have downloaded the update 1.2, and have powered down/removed battery/reset memory with no effect. There is no issue with the connection pins of the battery unit, and further the light on the power adapter plug is not working.
This seems now to be a popular subject... Thanks for any help.
System Power Settings:

AC Power:
System Sleep Timer (Minutes): 53
Disk Sleep Timer (Minutes): 10
Display Sleep Timer (Minutes): 52
Automatic Restart On Power Loss: No
Wake On AC Change: No
Wake On Clamshell Open: Yes
Wake On LAN: Yes
Display Sleep Uses Dim: Yes
Battery Power:
System Sleep Timer (Minutes): 37
Disk Sleep Timer (Minutes): 10
Display Sleep Timer (Minutes): 25
Wake On AC Change: No
Wake On Clamshell Open: Yes
Display Sleep Uses Dim: No
Reduce Brightness: No

Battery Information:

Battery Installed: No

AC Charger Information:

Connected: Yes

Hardware Configuration:

UPS Installed: No

Sorry this isn't more helpful, but your battery's health looks good from the info you posted. A Macbook battery that's generating this information but isn't working should really go into the Apple store.

The one other thing I can recommend before you take it to the store--in case there are other power issues involved--is to reset your SMC. Turn off the computer, remove the battery and any powered connections, and hold down the power button for five full seconds. Put the battery back in and boot up. If there is a problem with the power management systems, this may help.

Check this out http://www.apple.com/support/macbook_macbookpro/batteryupdate/ Had a black X over my battery icon and battery was not recognized by my Macbook called the Applecare Phone # and they asked for the serial # on the battery, they sent me a new 1 in about 2 days. I was even 3 months out of warranty.