a) What is the critical value of v such that the particle just reaches y = h? (Use B, h, m, and q as necessary.) v = ? (b) Describe the path of the particle under this condition, and predict its final velocity. (Use v as necessary.) vf = ?, path description = (straight line, semicircle, or circular arc) (c) Specify the path the particle takes and its final velocity, if v is less than the critical value. (Use v as necessary.) vf = ?, path description = (straight line, semicircle, or circular arc) (d) Specify the path the particle takes and its final velocity if v is greater than the critical value. (Use ? and v as necessary.) vf = ?, path description = (straight line, semicircle, or circular arc)
As shown in the figure below, a particle of mass m having positive charge q is initially traveling with velocity vĵ. At the origin of coordinates it enters a region between y = 0 and y = h containing a uniform magnetic field B directed perpendicular out of the page.
(a) What is the critical value of v such that the particle just reaches y = h? (Use B, h, m, and q as necessary.)
v = ?
(b) Describe the path of the particle under this condition, and predict its final velocity. (Use v as necessary.)
vf = ?, path description = (straight line, semicircle, or circular arc)
(c) Specify the path the particle takes and its final velocity, if v is less than the critical value. (Use v as necessary.)
vf = ?, path description = (straight line, semicircle, or circular arc)
(d) Specify the path the particle takes and its final velocity if v is greater than the critical value. (Use ? and v as necessary.)
vf = ?, path description = (straight line, semicircle, or circular arc)
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