\magnification=\magstep2

$$
{\rm KE\ } \quad = \quad {{1}\over{2}} m v^2
$$

$$
{\rm KE\ } \quad = \quad ( \gamma - 1 ) \thinspace m c^2
$$

$$
\gamma \quad = \quad {  {1}\over{  \sqrt { 1 - { {v^2}\over{c^2} }  }  }  }
$$

$$
{ {v}\over{c} } \quad = \quad \beta \quad = \quad {\sqrt { 1 - {{1}\over{\gamma^2}} } }
$$

$$
{\rm rest\ energy\ } \quad = \quad m c^2 
$$

$$
\eqalign{
{\rm total\ energy\  E} \quad &= \quad {\rm rest\ energy\ } + {\rm KE } \cr
   \cr
                              &=   \quad ( m c^2 )  \quad +  \quad {(\gamma - 1) \thinspace mc^2 } \cr
   \cr
                              &=   \quad \gamma m c^2 \cr
}
$$

$$
{\rm Po}^{210}  \quad \rightarrow \quad {\rm Pb}^{206} \thinspace + \thinspace {\rm He}^4
$$




                   
\bye
