How would the 0.25 grams of antimatter only annihilate the Vatican and nowhere else?
Well 0.25 grams of antimatter combined with 0.25 grams of regular matter would produce:
0.5 grams is 0.0005 kg
Using E=mc^2
0.0005 x 300,000,000^2 kg*m^2/s^2
That's
45,000,000,000,000 Joules which is roughly 10kt of TNT
But...
As I understand it, about half of that will be neutrinos which doesn't do anything destructive so about 5kt of actual destruction.
Edit: Shoulda known that I took too long with that.
I had to do calculations like that in college Chemistry, but I found them confusing even then.
But is Gud's answer the same as Tom's? I forget how many kilotons the Nagasaki bomb was....
I forget how many kilotons the Nagasaki bomb was....
It's in the Wikipedia article I linked to.
1 joule = 1 kg * (m² / s²), which matches the units of m × c².
Tom's link says 21kt for Nagasaki so his 1/2 Nagasaki and my 10kt are the same answer.
Fat Man and Little Boy were in the 10-12 kiloton range, weren't they?
eta: Ah, perhaps that was a lowball estimate I heard somewhere.
Oh. I was just thinking the Nagasaki bomb was more powerful than that.
OK, all is well. You may all resume your non e=mc² activities....
damn you people making me have equations running around in my brain. I'll be walking around mutting f=ma, d=.5atsquared
I'm in the middle of a boring project, so I was hoping people would start talking more here to distract me.
Be careful what you wish for I guess.
I have Bust a Move in my head and I don't know why.
You're welcome.
So what's the equation that relates energy to work?