Question

A proton moving at speed $v=1.00 \cdot 10^{6} \mathrm{~m} / \mathrm{s}$ enters a region in space where a magnetic field given by $\vec{B}=(-0.500 \mathrm{~T}) \hat{z}$ exists. The velocity vector of the proton is at an angle $\theta=60.0^{\circ}$ with respect to the positive $z$ -axis. a) Analyze the motion of the proton and describe its trajectory (in qualitative terms only). b) Calculate the radius, $r,$ of the trajectory projected onto a plane perpendicular to the magnetic field (in the $x y$ -plane). c) Calculate the period, $T,$ and frequency, $f,$ of the motion in that plane. d) Calculate the pitch of the motion (the distance traveled by the proton in the direction of the magnetic field in 1 period).

          A proton moving at speed $v=1.00 \cdot 10^{6} \mathrm{~m} / \mathrm{s}$ enters a region in space where a magnetic field given by $\vec{B}=(-0.500 \mathrm{~T}) \hat{z}$ exists. The velocity vector of the proton is at an angle $\theta=60.0^{\circ}$ with respect to the positive $z$ -axis.
a) Analyze the motion of the proton and describe its trajectory (in qualitative terms only).
b) Calculate the radius, $r,$ of the trajectory projected onto a plane perpendicular to the magnetic field (in the $x y$ -plane).
c) Calculate the period, $T,$ and frequency, $f,$ of the motion in that plane.
d) Calculate the pitch of the motion (the distance traveled by the proton in the direction of the magnetic field in 1 period).

Added by Steven W.

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