Physics

Problem

A charged particle starts from rest and is accelerated in vacuum. a. Derive an expression for the potential difference

\Delta V

required to accelerate a particle of mass

m

and charge magnitude

q

from rest to speed

v

(non-relativistic). b. Using your expression, calculate the potential difference needed to accelerate an alpha particle (charge

+2e

, mass

6.64\times10^{-27}\,\text{kg}

) to a speed of

1.0\times10^{6}\,\text{m\,s}^{-1}

. Express your answer to two significant figures.