An explosion at ground level leaves a crater with a diameter that is proportiona

Question

An explosion at ground level leaves a crater with a diameter that is proportional to the energy of the explosion raised to the 1/3 power; an explosion of 1 megaton of TNT leaves a crater with a 1 km diameter. An ancient impact crater is found with a 86 km diameter. What was the kinetic energy associated with that impact, in terms of (a) megatons of TNT (1 megaton yields 4.2 x 1015 J) and (b) Hiroshima bomb equivalents (13 kilotons of TNT each)? (Ancient meteorite or comet impacts may have significantly altered Earth's climate and contributed to the extinction of the dinosaurs and other life-forms.)

Explanation / Answer

solve the volumes taken out by each blast. or .5*4/3*pi*(d/2)^3 where d is diameter. divide the volume of the of the meteor crater with the bomb crater and get required ans.

kilo to means 1000 mega is 1 million. so do the same as above but include a conversion from mega to 13kilo


will give required ans

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