An adventurous archeologist $($m $585\mathrm{.}0$ kg$)$ tries to cross ariver by swinging from a vine. The vine is $10\mathrm{.}0$ m long, and hisspeed at the bottom of the swing is $8\mathrm{.}00$ m$/$s$.$ The archeologistdoesnt know that the vine has a breaking strength of $1000$ N$.$Does he make it across the river without falling in$?$