A particle having charge $q=2\mathrm{.}1C$ and mass $m=130mg$ is connected to a string that is $L=1\mathrm{.}5$ long and is tied to the pivot point $P$ as shown in the figure. The particle, string, and pivot point all lie horizontal table. The particie is released from rest when the string makes an angle $=49\mathrm{.}0$ with a uniform electric field of m$$nitude $E=230\frac{V}{m}.$

a$)$ Find the change in electrical potential of the particle as it moves from the position shown to positic

$V=$

b$)$ Find the change in electrical potential energy of the particle as it moves from the position shown t position $a.$

$U=$

c$)$ Determine the speed of the particle, in $\frac{m}{s},$ when at position a$.$

$|vec(v)|=$

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