problem08_99

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

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8.99: The information is not sufficient to use conservation of energy. Denote the emitted neutron that moves in the - y + direction by the subscript 1 and the emitted neutron that moves in the – y -direction by the subscript 2. Using conservation of momentum in the x- and y- directions, neglecting the common factor of the mass of neutron, . 30 sin 45 sin 10 )sin 3 2 ( 0 30 cos 45 cos 10 cos ) 3 2 ( 2 1 0 2 1 0 0 ° - ° + ° = ° + ° + ° = v v v v v v v With ° = ° 45 cos 45 sin , these two relations may be subtracted to eliminate , 1 v and rearrangement gives
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Unformatted text preview: ), 30 sin 30 cos ( ) 10 )sin 3 2 ( 10 cos ) 3 2 ( 1 ( 2 ° + ° = ° + °-v v from which 2 v s m 10 1.0 or s m 10 01 . 1 3 3 × × = to two figures. Substitution of this into either of the momentum relations gives s. m 221 1 = v All that is known is that there is no -z component of momentum, and so only the ratio of the speeds can be determined. The ratio is the inverse of the ratio of the masses, so Ba Kr ) 5 . 1 ( v v = ....
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