From b1a9b1b9b2f04efd6dc39bd2a02c544d34d1259c Mon Sep 17 00:00:00 2001 From: Prefetch Date: Sun, 1 Jan 2023 16:40:56 +0100 Subject: Change license, add Makefile, add image caching control --- source/know/concept/rutherford-scattering/index.md | 6 ++++-- 1 file changed, 4 insertions(+), 2 deletions(-) (limited to 'source/know/concept/rutherford-scattering/index.md') diff --git a/source/know/concept/rutherford-scattering/index.md b/source/know/concept/rutherford-scattering/index.md index 6f5a21f..edf391c 100644 --- a/source/know/concept/rutherford-scattering/index.md +++ b/source/know/concept/rutherford-scattering/index.md @@ -19,7 +19,8 @@ Let 2 be initially at rest, and 1 approach it with velocity $$\vb{v}_1$$. Coulomb repulsion causes 1 to deflect by an angle $$\theta$$, and pushes 2 away in the process: -{% include image.html file="two-body-full.png" width="50%" alt="Two-body repulsive 'collision'" %} +{% include image.html file="two-body-full.png" width="50%" + alt="Two-body repulsive 'collision'" %} Here, $$b$$ is called the **impact parameter**. Intuitively, we expect $$\theta$$ to be larger for smaller $$b$$. @@ -67,7 +68,8 @@ then by comparing $$t > 0$$ and $$t < 0$$ we can see that $$v_x$$ is unchanged for any given $$\pm t$$, while $$v_y$$ simply changes sign: -{% include image.html file="one-body-full.png" width="60%" alt="Equivalent one-body deflection" %} +{% include image.html file="one-body-full.png" width="60%" + alt="Equivalent one-body deflection" %} From our expression for $$\vb{r}$$, we can find $$\vb{v}$$ by differentiating with respect to time: -- cgit v1.2.3