$($a$)$

A$19\mathrm{.}0$kg child is riding a playground merry$-$go$-$round that is rotating at$35\mathrm{.}0$rpm$.$What centripetal force, in N$,$ must she exert to stay on if she is$2\mathrm{.}00$m$$from its center?

$$N

$($b$)$

What centripetal force, in N$,$ does she need to stay on an amusement park merry$-$go$-$round that rotates at$3\mathrm{.}00$ rpm$$if she is$5\mathrm{.}40$m$$from its center?

$$N

$($c$)$

Compare each force with her weight.

force from part $($a$)$weight

$=$

force from part $($b$)$weight

$=$