In order for Jane to return to base camp, she needs to swing across a river of width \( D \) that is filled with alligators. She must swing into a wind exerting constant horizontal force \( \vec{F} \), on a vine having length \( L \) and initially making an angle \( \theta \) with the vertical (see below figure). Take \( D = 50.0 \, \text{m} \), \( \vec{F} = 113 \, \text{N} \), \( L = 40.0 \, \text{m} \), \( \theta = 47.0^\circ \), and her mass to be \( 50.0 \, \text{kg} \).**Diagram Description:**The diagram shows Jane standing on a cliff on the right side, holding a vine. The vine is inclined at an angle \( \theta \) with the vertical toward a tree on the opposite side of the river. A force \( \vec{F} \) acts horizontally on the vine from the wind’s direction. The width \( D \) of the river and the distance \( L \) (vine’s length) are shown. Tarzan stands on the left side, waiting near the tree where Jane will land.**Problems:**(a) With what minimum speed (in m/s) must Jane begin her swing to just make it to the other side? (If Jane can make it across with zero initial velocity, enter 0.)\[ \boxed{} \, \text{m/s} \](b) Shortly after Jane's arrival, Tarzan and Jane decide to swing back across the river (simultaneously). With what minimum speed (in m/s) must they begin their swing? Assume that Tarzan has a mass of \( 80.0 \, \text{kg} \).\[ \boxed{} \, \text{m/s} \]

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Answered: With what minimum speed (in m/s)

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With what minimum speed (in m/s)

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

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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Concept explainers

Relativistic Energy and Momentum

According to classical physics, time flow is the same for every observer. But according to einstein's theory, time flow is different for different observers. The idea that time flow is not the same for all may sound strange because we may not experience this effect in everyday life. This effect is only observed when an object moves with some velocity comparable to the velocity of light. This velocity is termed relativistic velocity.

Question

In order for Jane to return to base camp, she needs to swing across a river of width \( D \) that is filled with alligators. She must swing into a wind exerting constant horizontal force \( \vec{F} \), on a vine having length \( L \) and initially making an angle \( \theta \) with the vertical (see below figure). Take \( D = 50.0 \, \text{m} \), \( \vec{F} = 113 \, \text{N} \), \( L = 40.0 \, \text{m} \), \( \theta = 47.0^\circ \), and her mass to be \( 50.0 \, \text{kg} \).

**Diagram Description:**
The diagram shows Jane standing on a cliff on the right side, holding a vine. The vine is inclined at an angle \( \theta \) with the vertical toward a tree on the opposite side of the river. A force \( \vec{F} \) acts horizontally on the vine from the wind’s direction. The width \( D \) of the river and the distance \( L \) (vine’s length) are shown. Tarzan stands on the left side, waiting near the tree where Jane will land.

**Problems:**
(a) With what minimum speed (in m/s) must Jane begin her swing to just make it to the other side? (If Jane can make it across with zero initial velocity, enter 0.)

\[ \boxed{} \, \text{m/s} \]

(b) Shortly after Jane's arrival, Tarzan and Jane decide to swing back across the river (simultaneously). With what minimum speed (in m/s) must they begin their swing? Assume that Tarzan has a mass of \( 80.0 \, \text{kg} \).

\[ \boxed{} \, \text{m/s} \]

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