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Revision as of 17:07, 23 September 2010 (edit) Ian (Talk | contribs) (New page: Using <math>{{m}_{A}}{{v}_{A}}+{{m}_{B}}{{v}_{B}}={{m}_{A}}{{u}_{A}}+{{m}_{B}}{{u}_{B}}</math> Assume the 2 kg particle is moving in the positive direction, <math>\begin{align} & 2\time...) ← Previous diff		Current revision (16:36, 27 March 2011) (edit) (undo) Ian (Talk | contribs)
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	<math>\begin{align}		<math>\begin{align}
	& 2\times 5+3\times (-6)=2\times (-2)+3v \\		& 2\times 5+3\times (-6)=2\times (-2)+3v \\
-	& 10-12=-4+3v \\	+	& 10-18=-4+3v \\
-	& 2=3v \\	+	& -4=3v \\
-	& v=\frac{2}{3}\text{ m}{{\text{s}}^{\text{-1}}} \\	+	& v=\frac{-4}{3}\text{ m}{{\text{s}}^{\text{-1}}} \\
	\end{align}</math>		\end{align}</math>
-	The 3 kg particle moves in the opposite direction to its original velocity.	+	The 3 kg particle moves in the same direction to its original velocity.

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Current revision

Using

\displaystyle {{m}_{A}}{{v}_{A}}+{{m}_{B}}{{v}_{B}}={{m}_{A}}{{u}_{A}}+{{m}_{B}}{{u}_{B}}

Assume the 2 kg particle is moving in the positive direction,

\displaystyle \begin{align} & 2\times 5+3\times (-6)=2\times (-2)+3v \\ & 10-18=-4+3v \\ & -4=3v \\ & v=\frac{-4}{3}\text{ m}{{\text{s}}^{\text{-1}}} \\ \end{align}

The 3 kg particle moves in the same direction to its original velocity.