A proton moving with a speed of 1.50 × 10 ^6 m/s enters a region containing a uniform magnetic field of magnitude 0.500 T pointing in the -z direction. The velocity vector is at an angle of 60o with respect to the +z axis.
(a) Describe the trajectory of the proton in qualitative terms. Justify your answer in terms of the force on the proton.
(b) Calculate the radius of the trajectory projected onto a plane perpendicular to the field (i.e., in the x-y plane).
(c) Calculate the period, the frequency, and the angular frequency of the motion in the x-y plane.
(d) What is the pitch of the motion (the distance traveled along the z axis in one period of the circular motion in the x-y plane)?