problem08_86

University Physics with Modern Physics with Mastering Physics (11th Edition)

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8.86: (a) For momentum to be conserved, the two fragments must depart in opposite directions. We can thus write B B A A V M V M - = Since , B A M M M - = we have B B B A B B A B ) ( M M M V V V M V M M - - = - = - Then for the ratio of the kinetic energies A B 2 B 2 B B A 2 B B 2 1 2 A A 2 1 B A ) ( M M M M M M M V M V M KE KE = - = = The ratio of the KE’s is simply the inverse ratio of the masses. From the two equations Q KE KE KE M M KE = +
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Unformatted text preview: = B A B A B A and We can solve for B KE to find B A A B B A A B A A B 1 1 M M QM Q KE M M M Q KE Q KE M M + = + = +-=-= (b) If A A B then , 4 M M M = will get 4 times as much KE as , B M or 80% of Q for A M and 20% for . B M...
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