Dropped from school desk wont turn on

Hello,
i was at school and I had my laptop in my bag, and it fell from the desk upside down and the screen piece was cracked open slightly and i popped it back closed but when I tried turning it on it didn't do anything, when I got home I charged it and it turned on so I thought it was the battery, next day i took it out to work on a paper for class and it wouldn't turn on and no light for the battery icon, i had checked it before school and it was a full battery. It doesn't seem to work when it's unplugged but when plugged in to an outlet, it works just fine, I don't know how to fix it. please help me I don't know what else to do.
I think it's an Aspire E 11 Acer