Kindle won't charge when on?
My Kindle Fire charges when it's off and when it automatically turns on, it stops charging. Then I unlock it and it turns off right away. It's at 1%
I have had this happen on my tablet occasionally. The problem is the tablet doesn't have enough juice to run normally
plug it into a wall charger and leave it attached and plugged in for at least 6 hours not touching it. It should then boot and and work normally.
It's better to be charged with it's dedicated power adapter. Here you can find details on charging time of different adapters, and how to optimize the battery life:
And here you can find some discussion on charging the Kindle while it's turned on:
Hope that helps.