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Diffstat (limited to 'mindmap/Newtonian mechanics.org')
| -rw-r--r-- | mindmap/Newtonian mechanics.org | 9 |
1 files changed, 5 insertions, 4 deletions
diff --git a/mindmap/Newtonian mechanics.org b/mindmap/Newtonian mechanics.org index c78b1e3..7d4b414 100644 --- a/mindmap/Newtonian mechanics.org +++ b/mindmap/Newtonian mechanics.org @@ -54,12 +54,13 @@ In general, the total momentum is defined to be: \end{align*} And in real life, we observe that things can transfer momentum. That is: \begin{align*} -\vec{p}_{1} = -\vec{p}_{2} +\vec{p}_{1} = -\vec{p}_{2} + \vec{p}_{i} \end{align*} -When these two objects have the same position vector \( \vec{r}_{1} = \vec{r}_{2} \) (if they are point masses; don't have volume but have mass which is idealistic but works as an approximation). -Because this operation of momentum transfer is symmetrical: +Where $\vec{p}_{i}$ is the initial momentum of the objects. +this happens when these two objects have the same position vector \( \vec{r}_{1} = \vec{r}_{2} \) (if they are point masses; don't have volume but have mass which is idealistic but works as an approximation). +This operation of momentum transfer is symmetrical: \begin{align*} -\vec{p}_{2} = -\vec{p}_{1} +\vec{p}_{2} = -\vec{p}_{1} + \vec{p}_{i} \end{align*} Note that the fact that this operation is symmetrical must be the case to preserve the property: \begin{align*} |