(Solved): Proton in a well. The figure shows electric potential \( V \) along an \( x \) axis. A proton is t ...

Proton in a well. The figure shows electric potential \( V \) along an \( x \) axis. A proton is to be released at \( x=3.5 \mathrm{~cm} \) with initial kinetic energy \( 3.2 \mathrm{eV} \). The scale of the vertical axis is set by \( V_{s}=10.0 \mathrm{~V} \). (a) If it is initially moving in the negative direction, it either reaches a turning point (if so, what is the \( x \) coordinate of that point) or it escapes from the plotted region (if so, what is its speed at \( x=0 \) )? (b) If it is initially moving in the positive direction, it either reaches a turning point (if so, what is the \( x \) coordinate of that point) or it escapes from the plotted region (if so, what is its speed at \( x=6.0 \mathrm{~cm} \) )? What are the (c) magnitude \( \mathrm{F} \) and (d) direction (positive or negative direction of the \( x \) axis) of the electric force on the proton if the proton moves just to the left of \( x=3.0 \mathrm{~cm} \) ? What are (e) \( F \) and (f) the direction if the proton moves just to the right of \( x=5.0 \mathrm{~cm} \) ? (a) Number Units (b) Number Units (c) Number Units (d) (e) Number Units (f)