ane (m= 63 kg) clutches a tree vine with lengthL= 9.5 mthat is initially taut and horizontal. She drops from rest andswings down while holding onto the vine. At the lowest pointof her swing she grabs Tarzan (M= 81 kg), who is standingmotionless in front of a vicious lion, and holds onto him asshe swings upward. What is the maximum heighthfabovethe contact point that Jane and Tarzan will reach on the up-ward part of the swinging motion? For the limit check, in-vestigate what happens tohfas Tarzan’s mass becomes large(i. e.,M→[infinity]).

Certain bacteria (such as aquaspirillum magnetotacticum) tend to swim toward the earth’s geographic north pole because they contain tiny particles, called magnetosomes, that are sensitive to a magnetic field. if a transmission line carrying 100 a is laid underwater, at what range of distances would the magnetic field from this line be great enough to interfere with the migration of these bacteria? (assume that a field less than 5% of the earth’s field would have little effect on the bacteria. take the earth’s field to be 5.0 * 10-5 t, and ignore the effects of the seawater.)