Halliday, Resnick & Walker — Magnetic Fields: Problem 48

48 An alpha particle travels at a velocity \(\vec{v}\) of magnitude \(620 \text{ m/s}\) through a uniform magnetic field \(\vec{B}\) of magnitude \(0.045 \text{ T}\). (An alpha particle has a charge of \(+3.2 \times 10^{-19} \text{ C}\) and a mass of \(6.6 \times 10^{-27} \text{ kg}\).) The angle between \(\vec{v}\) and \(\vec{B}\) is \(52^\circ\). What is the magnitude of (a) the force \(\vec{F}_B\) acting on the particle due to the field and (b) the acceleration of the particle due to \(\vec{F}_B\)? (c) Does the speed of the particle increase, decrease, or remain the same?