Chapter 07, Problem 004 An explosion at ground level leaves a crater with a dism

Question

Chapter 07, Problem 004 An explosion at ground level leaves a crater with a dismeter that is proportional to the energy ot the explosion raised to the 1/3 power; an explosion of i megaton of TNT leaves a crater wth a 1 km diameter. An ancient impact crater is found with a 39 km diameter, What was the onetic energy associsted with that impact, in terms of (a) megatons of TNT (i megaton yielos 4.2 x 1015 3) and (b) Hroshima bomb equivalents (13 kolotons of TNT each)? (Ancient metnorite or comet impacts may have signficantly atered Ebrth's climate and contributed to the extinction of the dinosaurs and other life-forms.) (a) Number units (b) Number Click if you would like to show Work fer this questions 0em Shom. Wark unts Garastion Attempts: 0 of 12 used sA roR LATER SONET ANSWLR

Explanation / Answer

a)

We set up the ratio

39 Km/1Km =(E/1MT)1/3

E=1MT *393=59319 MT( Megatons of TNT)

b)

Since 13 KT is equivalent to 0.013 MT

N=59319/0.013=4.563*106 bombs

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