Chosen Solution
How to jumpstart MBP 13 2010 (A1278)?
On the logic board of the MacBook Pro (13-inch, Early 2011), there are two power pads that can be shorted to power on the system. These pads are located above the trackpad flex cable connector and below the had drive flex cable connector. The power-on pads are shiny, silver square, and larger than the other (mostly round) silver pads nearby. Only short these two pads, and no other pads, or you may damage the logic board. The tip of a T8 or T10 screwdriver is about the right size to touch these two pads, without touching other nearby components.
So on your board they should be right here:
I am not a Mac person and the real experts should probably verify this :-). Hope this helps, good luck.
