An adventurous archaeologist $($m $=70\mathrm{.}0$ kg$)$ tries to cross a river by swinging from a vine. The vine is $10\mathrm{.}0$ m

long, and her speed at the bottom of the swing is $8\mathrm{.}00$ m$/$s$.$ The archaeologist doesn$$t know that the vine has

a breaking strength of $1,000$ N$.$ Does she make it across the river without falling in$?$