Re: how to bomb apophis
Welcome to space.com.
You have some serious misunderstandings.
It most likely will not crash into earth. Currently the odds are about 1 chance in 45,000.
The size you gave is incorrect, it is estimated to be only aboput 270 meters across.
In 2036, we will no longer have the space shuttle. (The shuttle program ends in 2010)
Nuclear weapons can not obelarate (sic) Apophis. Too small.
In any case, with the speed of Apophis approaching earth, it will take 25 seconds to impact the surface from the height if the ISS. Oh,and by the way, it is quite likely the ISS will be gone by then as well. Even if you do manage to break it into pieces, all of those pieces will hit the earth and the damage effect would be substantially the same. If further observations show a higher risk, the better thing to do is to gently change it's orbit far enough in advance that it will miss the earth entirely. Radar observations in 2013 should help define that risk more precisely.
Wayne