Please remove the battery, if it is externally accessable, and give us the correct machine so we can proceed. I assume the "power block" is the external power adapter that plugs into the wall. How do you know it's good? Where did it come from and is it a Apple brand? While the battery is out, attach the magsafe power connector and see if the machine will boot without the battery installed. Push the button on the battery and tell us how many green lights you get. How did you get the battery charged?