Battery cutting out

Question

Hello, please help - my battery is showing as normal and showing charged.  However, my macbook switches off if not connected to a power source.  I cannot switch it on without charger being connected.  It attempts to switch on (you hear the start up apple noise) then display goes blank and power cuts out.
What can i do to fix this?
Thanks
I have included some information for you to see -
Battery Information:
  Model Information:
  Manufacturer:          DP
  Device name:          ASMB016
  Pack Lot Code:          0002
  PCB Lot Code:          0000
  Firmware Version:          102a
  Hardware Revision:          0500
  Cell Revision:          0102
Charge Information:
  Charge remaining (mAh):          4406
  Fully charged:          Yes
  Charging:          No
  Full charge capacity (mAh):          4410
  Health Information:
  Cycle count:          331
  Condition:          Normal
  Battery Installed:          Yes
  Amperage (mA):          0
  Voltage (mV):          12539
System Power Settings:
  AC Power:
  System Sleep Timer (Minutes):          10
  Disk Sleep Timer (Minutes):          10
  Display Sleep Timer (Minutes):          10
  Automatic Restart On Power Loss:          No
  Wake On AC Change:          No
  Wake On Clamshell Open:          Yes
  Wake On LAN:          No
  Current Power Source:          Yes
  Display Sleep Uses Dim:          Yes
  Battery Power:
  System Sleep Timer (Minutes):          10
  Disk Sleep Timer (Minutes):          10
  Display Sleep Timer (Minutes):          2
  Wake On AC Change:          No
  Wake On Clamshell Open:          Yes
  Display Sleep Uses Dim:          Yes
  Reduce Brightness:          Yes
Hardware Configuration:
  UPS Installed:          No
AC Charger Information:
  Connected:          Yes
  ID:          0x0100
  Wattage (W):          60
  Revision:          0x0000
  Family:          0x00ba
  Serial Number:          0x001a98ea
  Charging:          No

Answer 1

Have you tried an SMC reset?
http://support.apple.com/kb/ht3964