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Inelastic coliision momentum

2. [SJ3 8.P.047.] Tarzan, whose mass is 75.0 kg, swings from a 3.00 m vine that is horizontal when he starts. At the bottom of his arc, he picks up 55.0 kg Jane in a perfectly inelastic collision. What is the height of the highest tree limb they can reach on their upward swing?

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This solution is provided in 309 words in an attached .doc file. Conservation of momentum and energy is used to solve for the maximum height, and diagrams are used to further understand the problem.