The 60.0 Jane starts from rest at a height of 5.5m in the trees and swings down

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to the ground using a thin,? but very rigid, 32.0 vine 7.50 long. She arrives just in time to snatch the 72.0 Tarzan from the jaws of an angry hippopotamus. What is Jane's (and the vine's) angular speed
A)just before she grabs Tarzan?
B)just after she grabs him?
C)How high will Tarzan and Jane go on their first swing?
 
The tenson in the rope must support Jane's weight and provide centripetal acceleration for her to go to the other side. The Tension in the Rope - Jane's Weight = Jane's mass x acceleration. When Jane collides with Tarzan frictional forces are involved and energy is dissipated in the form of heat, light and sound. Her speed after colliding with Tarzan is Mj((2gh)^ 1/2 )/Mt + Mj. After the collision Tension = (Mass of Tarzan + Mass of Jane)(v^2/ H +g)
 
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