Part A

What is the net electric flux through the cylinder of $?$ Assume that $Q=250nC$

and $q=6\mathrm{.}0nC.$

Express your answer in newton meters squared per coulomb.

View Available Hint$($s$)$

${}_e=$

$N*\frac{m^2}{C}$Problem $3.$ Art Show $(8$ points$)$

You are creating a painting exhibition for this year's art show. You have $48$ different colors of

paint that you can use in your work.

$($a$)[4$ pts$.]$ If each painting you make uses exactly $10$ different colors. What is the minimum

number of paintings you need to make to ensure that at least one color is used in three

different paintings? Briefly justify your answer.

$($b$)[4$ pts$.]16$ of the colors are "warm", $12$ of the colors are "cool", and $20$ of the colors are

"neutral". If each painting you make uses exactly one color, and you only use each color in

one painting, how many paintings do you need to make in order to guarantee that you have

used either all of the "warm" or all of the "cool" colors, regardless of the order in which you

use the colors? Briefly justify your answer.

Solution: