An lithium nucleus has a velocity of v = (4.76 x 106 m/s) i – (2.75 x 106 m/s) j and travels through a region of space with a uniform magnetic field of B = (0.667 T) k This particle has a charge of +3e = +4.806 x 10-19 C and seven nucleons in the nucleus meaning it has a mass of 7u = 7(1.66 x 10 27 kg) = 11.6 x 10 27 kg (a) Find the magnetic force on this particle. (HINTI: You can use the cross product or the magnitude and right-hand-rule. If you use the magnitude and RHR, be sure to calculate the magnitude and angle of the velocity first) (b) This force will provide a centripal force on the particle and cause it to circle (or orbit) around the field lines. What would be the radius of this circular path?

Principles of Physics: A Calculus-Based Text
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Chapter31: Particle Physics
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An lithium nucleus has a velocity of
v = (4.76 x 106 m/s) i – (2.75 x 106 m/s) j
and travels through a region of space with a uniform magnetic field of
B = (0.667 T) k
This particle has a charge of +3e = +4.806 x 10 19 C and seven nucleons in the nucleus meaning it has a mass of 7u = 7(1.66 x 1027 kg) = 11.6 x 10-27 kg
(a) Find the magnetic force on this particle. (HINT: You can use the cross product or the magnitude and right-hand-rule. If you use the magnitude and RHR, be sure
to calculate the magnitude and angle of the velocity first)
(b) This force will provide a centripal force on the particle and cause it to circle (or orbit) around the field lines. What would be the radius of this circular path?
(c) What is the period of the orbit?
Transcribed Image Text:An lithium nucleus has a velocity of v = (4.76 x 106 m/s) i – (2.75 x 106 m/s) j and travels through a region of space with a uniform magnetic field of B = (0.667 T) k This particle has a charge of +3e = +4.806 x 10 19 C and seven nucleons in the nucleus meaning it has a mass of 7u = 7(1.66 x 1027 kg) = 11.6 x 10-27 kg (a) Find the magnetic force on this particle. (HINT: You can use the cross product or the magnitude and right-hand-rule. If you use the magnitude and RHR, be sure to calculate the magnitude and angle of the velocity first) (b) This force will provide a centripal force on the particle and cause it to circle (or orbit) around the field lines. What would be the radius of this circular path? (c) What is the period of the orbit?
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