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posted by  physicsoo on 5/23/2007 2:01:10 PM  |  status: Live  

plz help with this question

Course Textbook Chapter Problem
Calculus Based Physics University Physics with Modern Physics (11th) by Young, Freedman 23 86P
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question details:
 
The unstable nucleus uranium236 can be regarded as a uniformly charged sphere of charge Q=+92e and radius R=7.4*10^-15 m. In nuclear fission, this can divide into two smaller nuclei, each of 1/2 the charge and 1/2 the volume of the original uranium-236 nucleus. This is one of the reactions that occurred in nuclear weapon that exploded over Hiroshima,
a) Find the radii of the two daughter nuclei of charge +46e.
b)in a simple model for the fission process immediately after the uranium-236 nucleus has undergone fission the daughter nuclei are at rest and just touching. Calculate the kinetic energy that each of the daughter nuclei will have when they are very far apart.
c)In this model the sum of the kinetic energies of the two daughter nuclei, calculated in part b, is the energy released by the fission of one uranium-236 is 236u, where
 1u=1.66*10^-27 kg. Express your answer both in joules and in kilotons of TNT
1 kiloton of TNT releases 4.18*10^12J when it explodes.
d) in terms of this discuss why an atomic bomb could just as well be called an electric bomb
 
thanx in advance
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posted by ryguy on 5/23/2007 3:19:35 PM  |  status: Live
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physicsoo's comment:
"thank you so much"
Response Details:
(a) The two daughter nuclei have half the volume of the original uranium nucleus, so their radii are smaller by a factor of the cube root of 2:
 
                                 
 
So the radius us r = 5.9 x 10-15 m.
 
 
(b)
            
 
Each daughter has half of the potential energy turn into its kinetic energy when far from each other, so:
 
                                       
 
So the kinetic energy is K = 2.07 x 10-11 J.
 
 
(c) If we have 10.0 kg of uranium, then the number of nuclei is:
 
                                       
And each releases energy
 
                                       
 
 
(d) We could call an atomic bomb an “electric” bomb since the electric potential energy provides the kinetic energy of the particles.
 
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