$($a$)$ A $19\mathrm{.}0$ kg child is riding a playground merry$-$go$-$round that is rotating at $50\mathrm{.}0$ rpm $.$ What centripetal force, in N $,$ must she exert to stay on if she is $1\mathrm{.}50$ 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?

$$

$($c$)$ Compare each force with her weight.

$\frac{\text{f}\text{o}\text{r}\text{c}\text{e}\text{f}\text{r}\text{o}\text{m}\text{p}\text{a}\text{r}\text{t}(a)}{\text{w}\text{e}\text{i}\text{g}\text{h}\text{t}}=$

$\frac{\text{f}\text{o}\text{r}\text{c}\text{e}\text{f}\text{r}\text{o}\text{m}\text{p}\text{a}\text{r}\text{t}(b)}{\text{w}\text{e}\text{i}\text{g}\text{h}\text{t}}=($a$)$ A $19\mathrm{.}0$ kg child is riding a playground merry$-$go$-$round that is rotating at $50\mathrm{.}0$ rpm $.$ What centripetal force, in N $,$ must she exert to stay on if she is $1\mathrm{.}50$ 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?

$$

$($c$)$ Compare each force with her weight.

$\frac{\text{f}\text{o}\text{r}\text{c}\text{e}\text{f}\text{r}\text{o}\text{m}\text{p}\text{a}\text{r}\text{t}(a)}{\text{w}\text{e}\text{i}\text{g}\text{h}\text{t}}=$

$\frac{\text{f}\text{o}\text{r}\text{c}\text{e}\text{f}\text{r}\text{o}\text{m}\text{p}\text{a}\text{r}\text{t}(b)}{\text{w}\text{e}\text{i}\text{g}\text{h}\text{t}}=($a$)$ A $19\mathrm{.}0$ kg child is riding a playground merry$-$go$-$round that is rotating at $50\mathrm{.}0$ rpm $.$ What centripetal force, in N $,$ must she exert to stay on if she is $1\mathrm{.}50$ 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?

$$

$($c$)$ Compare each force with her weight.

$\frac{\text{f}\text{o}\text{r}\text{c}\text{e}\text{f}\text{r}\text{o}\text{m}\text{p}\text{a}\text{r}\text{t}(a)}{\text{w}\text{e}\text{i}\text{g}\text{h}\text{t}}=$

$\frac{\text{f}\text{o}\text{r}\text{c}\text{e}\text{f}\text{r}\text{o}\text{m}\text{p}\text{a}\text{r}\text{t}(b)}{\text{w}\text{e}\text{i}\text{g}\text{h}\text{t}}=$