How High Can Tarzan Swing After Jane Lets Go?

AI Thread Summary
The discussion revolves around calculating the maximum height Tarzan can reach after Jane releases the vine during their swing. The total mass of Tarzan and Jane is 140.0 kg, and they start swinging from a 6.0 m long vine at a 30.0° angle. Energy conservation principles are emphasized, stating that the initial potential energy equals the kinetic energy at the bottom of the swing. After Jane releases, only Tarzan's mass (90.0 kg) is considered for the subsequent swing. The problem encourages using symbols for calculations before substituting numerical values for clarity.
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Tarzan and Jane, whose total mass is 140.0 kg, start their swing on a 6.0 m long vine when the vine is at an angle of 30.0° with the horizontal. At the bottom of the arc, Jane, whose mass is 50.0 kg, releases the vine. What is the maximum height at which Tarzan can land on a branch after his swing continues?

I have tried to get this problem but i just seem to be pausing because i can't find the right information/formula to proceed.
All help appreciated :smile:
 
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Energy is conserved. The energy of "Tarzan + Jane" at the starting point equals the energy they have at the bottom of the arc. When Jane let's go, Tarzan is left alone. But energy is still conserved. (You may find the problem easier than it looks. Try to do things with symbols; don't rush to plug in numbers.)
 

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