Two charges are fixed in the xy$-$plane at the following locations:

Q$1=$e; $$ r $1=1\mathrm{.}0$m$$y

Q$2=$ e; $$ r $2=2\mathrm{.}0$m$$x$.(1)$

$($a$)$ What is the distance between Q$1$ and the origin?

$($b$)$ If an electron is placed at the origin, what potential energy does it have from Q$1?$

$($c$)$ What is the distance between Q$2$ and the origin?

$($d$)$ If an electron is placed at the origin, what potential energy does it have from Q$2?$

$($e$)$ How much work is required to bring an electron from infinity to the origin? $($Your

answer should be in Joules.$)$