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 33 km diameter. What was the kinetic energy associated with that impact, in terms of (a) megatons of TNT (1 megaton yields 4.2 times 10^15 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

As you have answered for first question and that is right hence i am contiuing from 2nd part

35.937 * 103 megatons of TNT

converting to Kilotons of TNT

35.937 * 103 * 103 kilotons of TNT

35.937 * 106 kilotons of TNT

1 hiroshima equivalent 13 kilotons of TNT

1 kiloton of TNT = 1/13 hiroshima equivalent

so 35.937 * 106 kilotons of TNT = 35.937 * 106 * (1/13) hiroshima equivalents

2.76 * 106 hiroshima equivalents

Answer is 2.7e6 hiroshima equivalents

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