25. (a) To find out whether or not the vine breaks, it is sufficient to examine it at the moment Tarzan swings through the lowest point, which is when the vine — if it didn't break — would have the greatest tension. Choosing upward positive, Newton's second law leads to Tmgmvr−=2wherer= 18.0 m and mWg===688 98702.. kg . We find the v2from energy conservation (where the reference position for the potential energy is at the lowest point).
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