p43_049

p43_049 - between momentum and energy can be used. Thus K...

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49. Energy and momentum are conserved. We assume the residual thorium nucleus is in its ground state. Let K α be the kinetic energy of the alpha particle and K Th be the kinetic energy of the thorium nucleus. Then, Q = K α + K Th . We assume the uranium nucleus is initially at rest. Then, conservation of momentum yields 0 = p α + p Th ,wh e r e p α is the momentum of the alpha particle and p
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Unformatted text preview: between momentum and energy can be used. Thus K Th = p 2 Th / 2 m Th , where m Th is the mass of the thorium nucleus. We substitute p Th = p and use K = p 2 / 2 m to obtain K Th = ( m /m Th ) K . Consequently, Q = K + m m Th K = 1 + m m Th K = 1 + 4 . 00 u 234 u (4 . 196 MeV) = 4 . 27 MeV ....
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This note was uploaded on 11/12/2011 for the course PHYS 2001 taught by Professor Sprunger during the Fall '08 term at LSU.

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