A particle with charge $2\mathrm{.}30C$ and mass $3\mathrm{.}00{10}^{-11}kg$ is initially traveling in the $+y-$direction with a speed $v_0=1\mathrm{.}50{10}^5\frac{m}{s}.$ It then enters a region containing a uniform magnetic field that is directed into, and perpendicular to$,$ the page in the figure. The magnitude of the field is $0\mathrm{.}420$

T $.$ The region extends a distance of $25\mathrm{.}0$ cm along the initial direction of travel; $75\mathrm{.}0$ cm from the point of entry into the magnetic field region is a wall. The length of the field$-$free region is thus $50\mathrm{.}0$ cm $.$ When the charged particle enters the magnetic field, it follows a curved path whose radius of curvature is $R.$ It then leaves the magnetic field after a time $t_1,$ having been deflected a distance $x_1.$ The particle then travels in the field$-$free region and strikes the wall after undergoing a total deflection $x.$

Part A

Determine the radius $R$ of the curved part of the path.

Express your answer in meters.

$R=$ m

Part B

Determine $t_1,$ the time the particle spends in the magnetic field.

Express your answer in seconds.

Part C

Determine $x_1,$ the horizontal deflection at the point of exit from the field.

Express your answer in meters.

$$

$$ Request Answer

Part D

Determine $x,$ the total horizontal deflection.

Express your answer in meters.

$x=$