(Solved): If, due to a small disturbance in its orbit, the asteroid were to hit the earth, how much kinetic e ...

If, due to a small disturbance in its orbit, the asteroid were to hit the earth, how much kinetic energy would it deliver? Take the speed of impact with the earth to be $$12.6\mathrm{km}/\mathrm{s}$$. Neglect the work that would be done by gravity. Part B The largest nuclear bomb ever tested by the United States was the "Castle/Bravo" bomb, having a yield of 15 megatons of TNT. (A megaton of TNT releases $$4.184\times 10^{15}\mathrm{J}$$ of energy.) How many Castle/Bravo bombs would be equivalent to the energy of Apophis? On April 13, 2029 (Friday the 13th!), the asteroid 99942 Apophis will pass within $$18600\mathrm{mi}$$ of the earth-about $$1/13$$ the distance to the moon! It has a density of $$2600\mathrm{kg}/{\mathrm{m}}^3$$, can be modeled as a sphere $$320\mathrm{m}$$ in diameter, and will be traveling at $$12.6\mathrm{km}/\mathrm{s}$$