SHM, Waves, Thermo, E&M Practice Problem Workbook

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MECHANICS PRACTICE PROBLEM SETS 43 second wire and is it going in the same direction or the opposite direction as the first current Answer: 8.33 A, same direction 9. An electron moving at right angles to a 0.10-T magnetic field experiences an acceleration of 6.00 x 10 15 m/s 2 . Ignoring the effects of gravity, what is the electron’s speed Answer: 3.42 x 10 5 m/s 10. A particle with a charge of 6.40 x 10 -19 C travels in a circular orbit with a radius 4.68 mm due to the force exerted on it by a magnetic field with magnitude of 1.65 T that is perpendicular to its orbit. What is the magnitude of the linear momentum (ρ) of the particle Answer: 4.94 x 10 -21 kg•m/s 11. A deuteron, which is the nucleus of an isotope of hydrogen, has a mass of 3.34 x 10 -27 kg and a charge of +e. The deuteron travels in a circular path with a radius of 6.96 mm in a magnetic field with a magnitude of 2.50 T. a. What is the speed of the deuteron Answer: 8.35 x 10 5 m/s b. What time is required for it to make half of a revolution Answer: 2.62 x 10 -8 s 12. An ion with a mass of m and a charge of +2e leaves a velocity selector moving at a speed of 400 km/s. It then moves in a half circle in a magnetic field of 60-mT that is perpendicular to the plane of its motion. At the end of this trip it is detected. If the radius of the circle is 13.9 cm, what is the mass of the ion Answer: 6.67 x 10 -27 m/s The following problems are from Giancoli Chapter 20. 13. (G1) What is the force per meter on a wire carrying a 9.80-A current when perpendicular to a 0.80 T magnetic field Answer: 7.8 N/m a. What if the angle between the wire and field is 45.0° Answer: 5.5 N/m 14. (G3) How much current is flowing in a wire 4.20 m long if the maximum force on it is 0.900 N when placed in a uniform 0.0800-T field Answer: 2.68 A 15. (G9) Alpha particles of charge q = +2e and a mass m = 6.6 x 10 -27 kg are emitted from a radioactive source at a speed of 1.67 x 10 7 m/s. What magnetic field strength would be required to bend these into a circular path of radius r = 0.25 m Answer: 1.3 T 16. (G13) A proton moves in a circular path perpendicular to a 1.15 T magnetic field. The radius of its path is 8.40 mm. Calculate the energy of the proton. Answer: 7.16 x 10 -16 J 17. (G19) Jumper cables used to start a stalled vehicle often carry a 15-A current. How strong is the magnetic field 15 cm away Answer: 2.0 x 10 -5 T Gamzon & Gregorian-Michaelsen 6/13/12
MECHANICS PRACTICE PROBLEM SETS 44 18. (G21) What is the magnitude and direction of the force between two parallel wires 45 m long and 6.0 cm apart, each carrying 35 A in the same direction Answer: 0.18 N attraction 19. (G27) A stream of protons passes a given point in space at a rate of 10 9 protons. What magnetic field do they produce 2.0 m from the beam Answer: 1.67 x 10 -17 T Gamzon & Gregorian-Michaelsen 6/13/12
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SHM, Waves, Thermo, E&M Practice Problem Workbook

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