An alpha particle is a helium nucleus that consists of two protons bound with two neutrons. An alpha particle moving through a perpendicular magnetic field of 1.7 T experiences an acceleration of 1825 m/s². What is the alpha particle's speed? m/s
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- A particle with charge 1.602 × 10-19 C in a magnetic field of 3.58 T travels in a circle of radius 3.14 m at a speed of 9.95 m/s. What is the particle's mass? Answer in units of kg.A particle with charge 9.78 x 10^-6 C moves at 8.62 x 10^6 m/s through a magnetic field of strength 1.18 T. The angle between the particle s velocity and the magnetic field direction is 40.5 degrees and the particle undergoes an acceleration of 16.0 m/s^2. What is the particle s mass?The Tevatron accelerator at Fermilab (Illinois) is designed to carry an 11-mA beam of protons (q = 1.6 × 10-19 C) traveling at very nearly the speed of light (3.0 × 10$ m/s) around a ring 6300 m in circumference. How many protons are in the beam?
- An electron moves through a magnetic field and experiences a force of 5.3 x 10^-12 N at a velocity of 3.2 x 10^8 m/s. What is the strength of the magnetic field?In the operating room, anesthesiologists use mass spectrometers to monitor the respiratory gases of patients undergoing surgery. One gas that is often monitored is the anesthetic isoflurane (molecular mass = 3.06 10-25 kg). In a spectrometer, a singly ionized molecule of isoflurane (charge = +e) moves at a speed of 5.40 103 m/s on a circular path that has a radius of 0.065 m. What is the magnitude of the magnetic field that the spectrometer uses?A proton is traveling through a region of space containing both a magnetic and electric field. At one instant in time, the velocity is ✓ = ( 89000 i +60100) m/s and the acceleration is a = (8.70 k) x 10⁹ m/s². If B = ( 1.51 k) mT, what is the magnitude of the electric field? i N/C
- Consider an experimental setup where charged particles (electrons or protons) are first accelerated by an electric field and then injected into a region of constant magnetic field with a field strength of 0.45 T. 1. What is the potential difference, in volts, required in the first part of the experiment to accelerate electrons to a speed of 6.1 × 107 m/s? 2. Find the radius of curvature, in meters, of the path of a proton accelerated through this same potential after the proton crosses into the region with the magnetic field. 3. What is the ratio of the radii of curvature for a proton and an an electron traveling through this apparatus?2. A charged particle enters the magnetic field of magnitude 0.35 T of a mass spectrometer at a speed of 1.79 x 10 m/s. If it travels in a circle with radius 10.7 cm, find the mass- to-charge ratio and identify the particle from the table. q (C) 1.60 x 10-19 m/q (kg/C) 1.04 x 10- 2.09 x 10 3.13 x 10-8 Nucleus m (kg) 1.67 x 10-27 3.35 x 10-27 5.01 x 10-27 Hydrogen Deuterium 1.60 x 10- 1.60 x 10-19 Tritium Helium-3 5.01 x 10 27 3.20 x 10-19 1.57 x 10-8A particle with charge 4.16 x 10^-6 C moves at 5.78 x 10^6 m/s through a magnetic field of strength 2.58 T. The angle between the particle s velocity and the magnetic field direction is 35.1 degrees and the particle undergoes an acceleration of 11.9 m/s^2. What is the particle s mass? 17.9 kg 3.00 kg 6.0 kg 7.1 kg
- In an experiment with cosmic rays, a vertical beam of particles that have charge of magnitude 3e and mass 12 times the proton mass enters a uniform horizontal magnetic field of 0.250 T and is bent in a semicircle of diameter 95.0 cm, as shown in (Figure 1). Part A Find the speed of the particles. Express your answer in meters per second. ? Figure 1 of 1 v = m/s 95.0 cm Part B Find the sign of particles' charge. positiveA particle with mass 4x10-2 kg and charge +3 µC enters a region of space where there is a magnetic field of 1T that is perpendicular to the velocity of the particle. When the particle encounters the magnetic field, it experiences an acceleration of 12 m/s^2. What is the speed of the particle when it enters the magnetic-field region? Express your answer in meters per second.27.1 A particle with a charge of −1.24 x 10−8 C is moving with instantaneous velocity v = (4.19 x 104 m/s)i + (−3.85 x 104 m/s)j. What is the force exerted on this particle by a magnetic field (a) B = (1.40 T)i and (b) B = (1.40 T)k?