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Physics / Sears and Zemansky's University Physics with Modern Physics 13 / Chapter 7 / Problem 12E

Sears and Zemansky's University Physics with Modern Physics | 13th Edition | ISBN: 9780321696861 | Authors: Hugh D. Young; Roger A. Freedman; A. Lewis Ford

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Answer: Tarzan and Jane. Tarzan, in one tree, sights Jane

Chapter 7, Problem 12E

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QUESTION:

Tarzan and Jane. Tarzan, in one tree, sights Jane in another tree. He grabs the end of a vine with length 20 m that makes an angle of \(45^{\circ}\) with the vertical, steps off his tree limb, and swings down and then up to Jane’s open arms. When he arrives, his vine makes an angle of \(30^{\circ}\) with the vertical. Determine whether he gives her a tender embrace or knocks her off her limb by calculating Tarzan’s speed just before he reaches Jane. You can ignore air resistance and the mass of the vine.

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QUESTION:

Tarzan and Jane. Tarzan, in one tree, sights Jane in another tree. He grabs the end of a vine with length 20 m that makes an angle of \(45^{\circ}\) with the vertical, steps off his tree limb, and swings down and then up to Jane’s open arms. When he arrives, his vine makes an angle of \(30^{\circ}\) with the vertical. Determine whether he gives her a tender embrace or knocks her off her limb by calculating Tarzan’s speed just before he reaches Jane. You can ignore air resistance and the mass of the vine.

ANSWER:

Solution 12E

Step 1 of 3:

Tarzan from one tree limb at the point A steps off the tree using L=20m vine with 45 ${\ }^{o}$ from vertical plane and arrives at another tree at point B by making an angle 30 ${\ }^{o}$ from vertical plane. We need to calculate at what speed tarzan arrives at point B to knock off jane. The pictorial representation of given problem is given below,

3 wavelengths nodes.jpg

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