Tarzan swings on a vine from a cliff to rescue Jane, who is standing on the ground surrounded by snakes. His plan is to push off the cliff, grab Jane at the lowest point of his swing, and carry them both to the safety of a nearby tree (see figure). Tarzan's mass is 77.1 kg, Jane's mass is 49.3 kg, the height of the lowest limb of the target tree is 10.1 m, and Tarzan is initially standing on a cliff of height 20.1 m. The length of the vine is 30.3 m. With what speed should Tarzan push off the cliff if he and Jane are to make it to the tree limb successfully? Tarzan Jane Snakes on the ground

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Tarzan swings on a vine from a cliff to rescue Jane, who is standing on the ground
surrounded by snakes. His plan is to push off the cliff, grab Jane at the lowest point of his
swing, and carry them both to the safety of a nearby tree (see figure). Tarzan's mass is
77.1 kg, Jane's mass is 49.3 kg, the height of the lowest limb of the target tree is 10.1 m,
and Tarzan is initially standing on a cliff of height 20.1 m. The length of the vine is 30.3
m. With what speed should Tarzan push off the cliff if he and Jane are to make it to the
tree limb successfully?
Tarzan
Jane
Snakes on the ground
Hint: work backwards (from lower branch)
It is not an elastic collision between Tarzan and Jane!
Transcribed Image Text:Tarzan swings on a vine from a cliff to rescue Jane, who is standing on the ground surrounded by snakes. His plan is to push off the cliff, grab Jane at the lowest point of his swing, and carry them both to the safety of a nearby tree (see figure). Tarzan's mass is 77.1 kg, Jane's mass is 49.3 kg, the height of the lowest limb of the target tree is 10.1 m, and Tarzan is initially standing on a cliff of height 20.1 m. The length of the vine is 30.3 m. With what speed should Tarzan push off the cliff if he and Jane are to make it to the tree limb successfully? Tarzan Jane Snakes on the ground Hint: work backwards (from lower branch) It is not an elastic collision between Tarzan and Jane!
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