Table of Contents
The majority of PHYS101 is covered at A Level, so I have only covered the new content (special relativity) in this module summary.
$$\Delta t=\frac{\Delta t_0}{\sqrt{1-\frac{u^2}{c^2}}},\;\;\; \beta=\frac{u}{c},\;\;\;\Delta t = \gamma\Delta t_0$$
$$l=\frac{l_0}{\sqrt{1-\beta^2}},\;\;\;\beta=\frac{u}{c},\;\;\;l_0=\gamma l$$
$p=mv$ applies if $m$ is the objects relativistic mass $(m=\gamma m_0)$, otherwise: $$p=\frac{m_0v}{\sqrt{1-\frac{u^2}{c^2}}}=\gamma m_0v$$
$$E=\gamma m_0c^2=mc^2$$
$$K=(\gamma -1)m_0c^2$$
$$E^2=m_0^2c^4+p^2c^2$$