1. An electron is moving through a magnetic field whose magnitude is 8.99 × 10-4 T. The electron experiences only a magnetic force and has an acceleration of magnitude 3.22 × 1014 m/s2. At a certain instant, it has a speed of 8.44 × 106 m/s. Determine the angle (less than 90o) between the electron's velocity and the magnetic field.
2.Suppose that an ion source in a mass spectrometer produces doubly ionized gold ions (Au2+), each with a mass of 3.27 x 10-25 kg. The ions are accelerated from rest through a potential difference of 1.32 kV. Then, a 0.648-T magnetic field causes the ions to follow a circular path. Determine the radius of the path.
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