Some students are playing on a merry$-$go$-$round at the park that is rotating in a horizontal circle. Erica $($m$=60\mathrm{.}0$kg$)$ is sitting on the very edge, a distance of $2\mathrm{.}8$m away from the center. Sam is running around grabbing the outside edge of the merry$-$go$-$round, trying to spin the merry$-$go$-$round fast enough for Erica to slide off.

A$)$ Draw a Free Body Diagram for Erica sitting on the merry$-$go$-$round

B$)$ If the coefficient of friction between Erica and the merry$-$go$-$round is $0\mathrm{.}45,$ what is the maximum static friction that Erica can experience?

C$)$ How fast would Sam have to run to make Erica slip?

D$)$ How many seconds does it take for Sam to make a full revolution around?

E$)$ How many times per second does Erica make a full revolution?