A particle of mass and charge enters the origin with velocity in a region where and…

PHYSICS · Multi-part · AP · Physics C: Electricity and Magnetism · Magnetic Fields and Electromagnetism · Magnetic Fields and Electromagnetism

Problem

A particle of mass

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

and charge

+1.6\times10^{-19}\,\text{C}

enters the origin with velocity

\vec v=(3\hat i+4\hat j)\times10^{6}\,\text{m s}^{-1}

in a region where

\vec E=(2\hat i-5\hat k)\times10^{4}\,\text{N C}^{-1}

and

\vec B=0.25\hat j\,\text{T}

are uniform. (i) Calculate the instantaneous force vector acting on the particle. (ii) Hence determine its acceleration vector at that instant.