1. A particle with negative charge q and mass m = 2,58. 10-15 kg is traveling through a region containing a uniform magnetic field B = -(0,12 T). At a particular instant of time the velocity of the particle is v=(1,05. 10°m/s)(-37+ 4j+ 12k) and the force F on the particle has a magnitude of 2,45 N. a) Determine the charge q. b) Determine the acceleration a of the particle. c) Explain why the path of the particle is a helix, and determine the radius of curvature R of the circular component of the helical path. d) Determine the cyclotron frequency of the particle.

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1. A particle with negative charge q and mass m = 2,58. 10-15 kg is traveling through a
region containing a uniform magnetic field B = -(0,12 T)k. At a particular instant of
time the velocity of the particle is v=(1,05. 10°m/s)(-37 + 4j + 12k) and the force
F on the particle has a magnitude of 2,45 N.
a) Determine the charge q.
b) Determine the acceleration a of the particle.
c) Explain why the path of the particle is a helix, and determine the radius of curvature
R of the circular component of the helical path.
d) Determine the cyclotron frequency of the particle.
Transcribed Image Text:1. A particle with negative charge q and mass m = 2,58. 10-15 kg is traveling through a region containing a uniform magnetic field B = -(0,12 T)k. At a particular instant of time the velocity of the particle is v=(1,05. 10°m/s)(-37 + 4j + 12k) and the force F on the particle has a magnitude of 2,45 N. a) Determine the charge q. b) Determine the acceleration a of the particle. c) Explain why the path of the particle is a helix, and determine the radius of curvature R of the circular component of the helical path. d) Determine the cyclotron frequency of the particle.
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