Solved: A Near-Earth Asteroid. On April 13, 2029 (Friday

Chapter 6, Problem 6.62

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A Near-Earth Asteroid. On April 13, 2029 (Friday the 13th!), the asteroid 99942 Apophis will pass within 18,600 mi of the earthabout the distance to the moon! It has a density of can be modeled as a sphere 320 m in diameter, and will be traveling at (a) If, due to a small disturbance in its orbit, the asteroid were to hit the earth, how much kinetic energy would it deliver? (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 of energy.) How many Castle/Bravo bombs would be equivalent to the energy of Apophis?

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