Tarzan\'s mass is 75.1 kg, Jane\'s mass is 48.7 kg, the height of the lowest lim

Question

Tarzan's mass is 75.1 kg, Jane's mass is 48.7 kg, the height of the lowest limb of the target tree is 10.3 m, and Tarzan is initially standing on a cliff of height 21.1 m. The length of the vine is 32.1 m. With what speed should Tarzan push off the cliff if he and Jane are to make it to the tree limb successfully?

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 75.1 kg, Jane's mass is 48.7 kg, the height of the lowest limb of the target tree is 10.3 m, and Tarzan is initially standing on a cliff of height 21.1 m. The length of the vine is 32.1 m. With what speed should Tarzan push off the cliff if he and Jane are to make it to the tree limb successfully?

Explanation / Answer

>>>> v0 = {2*9.8((123.8/75.1)2*10.3-21.1)} = 11.62 m/s

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