$(5$ pts$)3.$ A positive point charge $q_1=+4\mathrm{.}00{10}^{-6}C$ is held fixed at the origin. A small object with mass $0\mathrm{.}0500$ kg and negative charge $q_2=-6\mathrm{.}00{10}^{-4}C$ is released from rest on the $x$ axis at $x=0\mathrm{.}600m.$ Due to the force exerted on it by $q_1,$ the object moves toward the origin. What is the kinetic energy object when it is at $x=0\mathrm{.}400m?$

$a$

$($a$)18$ J

$($b$)36$ J

$($c$)54$ J

$($d$)90$ J

$($e$)108$ J

$($f$)$ none of the above answers

$(5$ pts$)4.$ Three capacitors $C_1=2\mathrm{.}00{10}^{-6}F,C_2=4\mathrm{.}00{10}^{-6}F,$ and $C_3=5\mathrm{.}00{10}^{-6}F$ are connected as shown in the sketch. If the voltage on $C_1$ is $12\mathrm{.}0$ V $,$ what is the charge on $C_3?$

$($a$)24C$

$($b$)48C$

$($c$)60C$

$($d$)74C$

$($e$)90C$

$($f$)$ none of the above answers

$(5$ pts$)5.$ Resistors $R_1=2\mathrm{.}00,R_2=4\mathrm{.}00,$ and $R_3=5\mathrm{.}00$ are connected to a battery as shown in the sketch. If the current in $R_1$ is $4\mathrm{.}00$ A $,$ what is the battery voltage $V?$ The battery has no internal recictance

$($a$)8$ V

$($b$)24$ V

$($c$)30$ V

$($d$)38$ V

$($e$)46$ V

$($f$)$ none of the above answers