Snakes on the ground 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 figures). Tarzan's mass is 79 kg, Jane's mass is 41 kg, the height of the lowest limb of the target tree is 10.2 m, and Tarzan is initially standing on a cliff of height of 19.0 m. The length of the vine is 29 m. With what speed should Tarzan push off the cliff if he and Jane are to make it to the tree limb successfully? The gravitational acceleration is g=9.8 m/s². Express your answer in m/s.

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Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
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Tarzan
Jane
Snakes on the ground
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 figures). Tarzan's mass is 79 kg, Jane's mass is 41 kg, the height of
the lowest limb of the target tree is 10.2 m, and Tarzan is initially standing
on a cliff of height of 19.0 m. The length of the vine is 29 m. With what
speed should Tarzan push off the cliff if he and Jane are to make it to the
tree limb successfully?
The gravitational acceleration is g=9.8 m/s².
Express your answer in m/s.
Transcribed Image Text:Tarzan Jane Snakes on the ground 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 figures). Tarzan's mass is 79 kg, Jane's mass is 41 kg, the height of the lowest limb of the target tree is 10.2 m, and Tarzan is initially standing on a cliff of height of 19.0 m. The length of the vine is 29 m. With what speed should Tarzan push off the cliff if he and Jane are to make it to the tree limb successfully? The gravitational acceleration is g=9.8 m/s². Express your answer in m/s.
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