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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
Tm
gm
v
r
−=
2
where
r
= 18.0 m and
mWg
==
=
688 98
702
.
. kg . We find the
v
2
from energy
conservation (where the reference position for the potential energy is at the lowest point).
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 Spring '08
 Any
 Physics

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