P25_089 - 89(Third problem of Cluster(a By momentum...

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89. (Third problem of Cluster ) (a) By momentum conservation we see that their Fnal speeds are the same. We use energy conservation (where the “Fnal” subscript refers to when they are inFnitely far away from each other): U i = K f 1 4 πε 0 2 Q 2 D =2 µ 1 2 mv 2 which (using k =1 / 4 0 ) yields v = | Q | r 2 k mD . (b) As noted above, this result is the same as that of part (a). (c) We use energy conservation (where the “Fnal” subscript refers to when their surfaces have made contact): U i = K f + U f 1 4 0 2 Q 2 D µ 1 2 mv 2 + 1 4 0 2 Q 2 2 r which (using k / 4 0 ) yields v = | Q | r k mr
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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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