A proton (mass (1.67 10^ -27

PHYSICS · Single correct · AP · Physics 2: Algebra-based · Magnetism and Electromagnetism · Magnetism and Electromagnetism

Problem

A proton (mass

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

, charge

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

) has instantaneous velocity

\vec v = (2\,\hat i + 3\,\hat j)\times10^{6}\,\text{m s}^{-1}

in a region where

\vec E = (5\,\hat i - 2\,\hat j)\times10^{3}\,\text{V m}^{-1}

and

\vec B = -0.10\,\text{T}\,\hat k

. What is the magnitude of its acceleration at that instant? (a)

2.0 \times 10^{13}\,\text{m s}^{-2}

(b)

3.4 \times 10^{12}\,\text{m s}^{-2}

(c)

3.4 \times 10^{13}\,\text{m s}^{-2}

(d)

5.7 \times 10^{12}\,\text{m s}^{-2}