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GR8677 #44 |
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Problem
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Mechanics }Conservation of Momentum
One could use energy, but then one would have to take into account the inertia. Momentum might be easier,
 = (p_f=MV)\Rightarrow V=\frac{m}{M}v,<br />
)
where the final momentum takes into account the fact that the final velocity of the particle is at rest (0). And, so it is (A)!
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Alternate Solutions |
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Comments |
Rune
2007-10-13 23:05:52 | I'm a bit confused because it seems to me that if the surface is frictionless and you hit a rod at one end, some of the momentum would go to rotating the rod. Why doesn't this happen?
jsdillon
2008-04-11 19:48:56 |
It does rotate. However, since the problem is asking for the velocity of the center of mass of the stick, it doesn't matter. The solution of the problem doesn't require a consideration of the conservation of angular momentum (although it is, indeed, conserved)--conservation of linear momentum is plenty.
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p3ace
2008-05-04 14:34:50 |
Only linear momentum for center-of-mass coordinates is needed.
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|  | grscjo3
2006-11-03 21:01:37 | When you say that by using energy to solve this, one would have to take into account the inertia, do you mean the rotational inertia of the rod?
yosun
2007-02-22 15:11:24 |
Yes, referring to this kind of inertia: 
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