ch44_p9 - 9. (a) Conservation of energy gives Q = K2 + K3 =...

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9. (a) Conservation of energy gives Q = K 2 + K 3 = E 1 E 2 E 3 where E refers here to the rest energies ( mc 2 ) instead of the total energies of the particles. Writing this as K 2 + E 2 E 1 = –( K 3 + E 3 ) and squaring both sides yields KK EK E E E E E 2 2 22 21 1 2 2 3 2 33 3 2 2 +−+ = ++ b g . Next, conservation of linear momentum (in a reference frame where particle 1 was at rest) gives | p 2 | = | p 3 | (which implies ( p 2 c ) 2 = ( p 3 c ) 2 ). Therefore, Eq. 37-54 leads to E E 2 2 3 2 += + which we subtract from the above expression to obtain
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This note was uploaded on 01/23/2011 for the course PHY 214 taught by Professor Timothybolton during the Fall '10 term at Kansas State University.

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