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An alpha particle travels at a velocity \( \vec{v} \) of magnitude \( 620 \mathrm{~m} / \mathrm{s} \) through a uniform magnetic field \( \vec{B} \) of magnitude \( 0.045 \mathrm{~T} \). (An alpha particle has a charge of \( +3.2 \times 10^{-19} \mathrm{C} \) and a mass of \( 6.6 \times 10^{-27} \mathrm{~kg} \).) 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?
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