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: \[p=\frac{m_0v}{\sqrt{1-\frac{u^2}{c^2}}}=\gamma m_0v\]
\[E=\gamma m_0c^2=mc^2\]
\[K=(\gamma -1)m_0c^2\]
\[E^2=m_0^2c^4+p^2c^2\]