My son dropped his and it went black as it sounds like yours did. I pulled the back off, disconnected the two ribbon cables (probably it was not necessary to disconnect the one from the USB/charging port), and re-connected it, viola! There is a video [https://www.youtube.com/watch?v=jZvEFqYd1Vk|on Youtube here.]
Kinda late to answer you but hope it helped. The cable disconnect/reconnect worked twice, but a couple of months later a flickering problem developed and now my son can't use it (used it daily a lot before that). It flickers, goes black, and the displays "SDCARD MODE" in upper left coroner. It won't reboot despite text telling you to press Volume up: for normal boot - I have to wait for the battery to die.
Came to this site, wondering if a new motherboard might fix it. Samsung repair wanted $330.