A proton moving at speed v$=1\mathrm{.}05106$m$/$sv$=1\mathrm{.}05106$m$/$s enters a region in space where a magnetic field given by B$=(0\mathrm{.}521$T$)$z$$B$=-0\mathrm{.}521$Tz$^$exists$.$ The velocity vector of the proton is at an angle $=56\mathrm{.}9$ with respect to the positive z$-$axis.$($You may enter your calculation using scientific notation.$)$

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$($a$)$ Calculate the radius, r$,$ of the trajectory projected onto a plane perpendicular to the magnetic field $($in the xy$-$plane$).$

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$1\mathrm{.}00$E$-2$ Numeric Response $1.$Edit Unavailable. $1\mathrm{.}00$E$-2$ incorrect.m

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$($b$)$ Calculate the period, T$,$ of the motion in that plane.

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$1\mathrm{.}26$E$-7$ Numeric Response $2.$Edit Unavailable. $1\mathrm{.}26$E$-7$ correct.s

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$($c$)$ Calculate the frequency, f$,$ of the motion in that plane.

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$7\mathrm{.}94$E$6$ Numeric Response $3.$Edit Unavailable. $7\mathrm{.}94$E$6$ correct.Hz

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$($d$)$ Calculate the pitch of the motion $($the distance traveled by the proton in the direction of the magnetic field in $1$ period$).$

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$1\mathrm{.}10$E$-1$ Numeric Response $4.$Edit Unavailable. $1\mathrm{.}10$E$-1$ incorrect.m