$($a$)$

A $39\mathrm{.}0$ kg child is riding a playground merry$-$go$-$round that is rotating at $30\mathrm{.}0$ rev$/$min$.$ What centripetal force $($in N$)$ is exerted if he is $1\mathrm{.}25$ m from its center? $($Enter the magnitude.$)$

N

$($b$)$

What centripetal force $($in N$)$ is exerted if the merry$-$go$-$round rotates at $2\mathrm{.}0$ rev$/$min and he is $8\mathrm{.}00$ m from its center? $($Enter the magnitude.$)$

N

$($c$)$

Compare each force with his weight. $($Enter the ratios of the magnitudes.$)$

F$($a$)$w

$=$

F$($b$)$w

$=$