A $54\mathrm{.}0-kg$ ice skater is moving at $3\mathrm{.}95\frac{m}{s}$ when she grabs the loose end of a rope, the opposite end of which is tied to a pole. She then moves in a circle of radius $0\mathrm{.}890$ m around the pole.

$($a$)$ Determine the magnitude of the force exerted by the horizontal rope on her arms.

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$($b$)$ Compare this force with her weight.

$\frac{F_{\text{r}\text{o}\text{p}\text{e}}}{W}=$

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