Assume that a honeybee is a sphere of diameter $1\mathrm{.}027cm$ with a charge of $+47\mathrm{.}3pC$ uniformly spread over its surface. Assume also that a spherical pollen grain of diameter $40\mathrm{.}6m$ is electrically held on the surface of the honeybee because the bee's charge induces a charge of $-1\mathrm{.}02pC$ on the near side of the grain and a charge of $+1\mathrm{.}02pC$ on the far side. $($a$)$ What is the magnitude of the net electrostatic force on the grain due to the bee? Next, assume that the bee brings the grain to a distance of $1\mathrm{.}021mm$ from the tip of a flower's stigma $($it is a distance between the tip of stigma and nearest point of the grain surface$)$ and that the tip is a particle of charge $-47\mathrm{.}3pC.($b$)$ What is the magnitude of the net electrostatic force on the grain due to the stigma? $($c$)$ Does the grain remain on the bee or does it move to the stigma?

$($a$)$ Number Units

$($b$)$ Number Units