Mr. Laser Beam wrote:
For that matter, how could Earth survive it?
According to The Doomsday Machine, blowing up a Constellation class ship has an explosive yield of 97 MT, about double the Tsar Bomba. It would destroy San Francisco, but not the world.
But we know Scotty's been aboard and engaging in sabotage, so maybe he ejected or otherwise neutralized the warp core.