Question 3: As we discussed, each 235U atom that undergoes fission releases approximately 200 MeV of energy. The energy of a nuclear weapon is expressed in terms of an equivalent amount of TNT (2,4,6-trinitrotoluene), for example a 20 mega-ton warhead. TNT contains 4.7 megajoules per kilogram and a ton of TNT is a unit of energy equal to 4.184 gigajoules. The Little Boy atomic bomb dropped on Hiroshima on August 6, 1945, exploded with an energy of about 15 kilotons of TNT. The W88 is a modern United States thermonuclear warhead, with an estimated yield of 475 kiloton, and is small enough that the Trident II submarine-launched ballistic missile can be armed with up to 8 W88 warheads. 1) What was the mass (in kg) of the 235U used in Little Boy? 2) How much would a Trident II missile weigh, if it also used 235U?

Modern Physics
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ISBN:9781111794378
Author:Raymond A. Serway, Clement J. Moses, Curt A. Moyer
Publisher:Raymond A. Serway, Clement J. Moses, Curt A. Moyer
Chapter14: Nuclear Physics Applications
Section: Chapter Questions
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Question 3:
As we discussed, each 235U atom that undergoes fission releases approximately 200 MeV of
energy. The energy of a nuclear weapon is expressed in terms of an equivalent amount of TNT
(2,4,6-trinitrotoluene), for example a 20 mega-ton warhead. TNT contains 4.7 megajoules per
kilogram and a ton of TNT is a unit of energy equal to 4.184 gigajoules.
The Little Boy atomic bomb dropped on Hiroshima on August 6, 1945, exploded with an energy
of about 15 kilotons of TNT. The W88 is a modern United States thermonuclear warhead, with
an estimated yield of 475 kiloton, and is small enough that the Trident II submarine-launched
ballistic missile can be armed with up to 8 W88 warheads.
1) What was the mass (in kg) of the 235U used in Little Boy?
2) How much would a Trident II missile weigh, if it also used 235U?
Transcribed Image Text:Question 3: As we discussed, each 235U atom that undergoes fission releases approximately 200 MeV of energy. The energy of a nuclear weapon is expressed in terms of an equivalent amount of TNT (2,4,6-trinitrotoluene), for example a 20 mega-ton warhead. TNT contains 4.7 megajoules per kilogram and a ton of TNT is a unit of energy equal to 4.184 gigajoules. The Little Boy atomic bomb dropped on Hiroshima on August 6, 1945, exploded with an energy of about 15 kilotons of TNT. The W88 is a modern United States thermonuclear warhead, with an estimated yield of 475 kiloton, and is small enough that the Trident II submarine-launched ballistic missile can be armed with up to 8 W88 warheads. 1) What was the mass (in kg) of the 235U used in Little Boy? 2) How much would a Trident II missile weigh, if it also used 235U?
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