A question with masses and distance to travel, find the time to travel so far

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Homework Help Overview

The problem involves Jane climbing a vine to visit Tarzan, with specific mass relationships between Jane, Tarzan, and Cheeta. The vine's length is given as 60m, and the task is to determine the minimum time for Jane's climb, considering the vine's weight capacity.

Discussion Character

  • Exploratory, Assumption checking, Conceptual clarification

Approaches and Questions Raised

  • Participants discuss the relationships between the masses of the characters and how they might affect the climbing dynamics. There is mention of applying Newton's second law and the Law of Conservation of Energy, with some uncertainty about their relevance to the problem.

Discussion Status

The discussion is ongoing, with participants exploring different angles and questioning the assumptions made in the problem. Some guidance has been offered regarding the forces involved in the climb, but no consensus has been reached on a specific approach or solution.

Contextual Notes

Participants note the importance of the vine's weight capacity and the mass relationships, indicating that these factors may influence the climbing dynamics. There is a focus on understanding the implications of acceleration and force during the climb.

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Homework Statement


Jane wishes to quickly scale a slender vine to visit Tarzan in his treetop hut. The vine is known to safely support the combined weight of Tarzan, Jane, and Cheeta. Tarzan has twice the mass of Jane, who has twice the mass of Cheeta. If the vine is 60m long, what minimum time should Jane allow for the climb?


Homework Equations





The Attempt at a Solution


Mass of Tarzan = 2 * Mass of Jane = 4 * Mass of Cheeta
Mass of Jane = 2 * Mass of Cheeta
Mass of Cheeta = ?

Length of vine = 60m

Can you guys help me suck out any more relevant information, or assumptions, from this question that I've missed? I like to solve problems on my own, even if it takes me a month like one particular question.. I just want a heads up on what I'm missing.
 
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I think the question is hinting at some use of Newton's second law...
 
Is there a way that I can incorporate the Law of Conservation of Energy into this question?
 
maphco said:
Is there a way that I can incorporate the Law of Conservation of Energy into this question?
I don't think so...
 
maphco said:

Homework Statement


Jane wishes to quickly scale a slender vine to visit Tarzan in his treetop hut. The vine is known to safely support the combined weight of Tarzan, Jane, and Cheeta. Tarzan has twice the mass of Jane, who has twice the mass of Cheeta. If the vine is 60m long, what minimum time should Jane allow for the climb?

Homework Equations


The Attempt at a Solution


Mass of Tarzan = 2 * Mass of Jane = 4 * Mass of Cheeta
Mass of Jane = 2 * Mass of Cheeta
Mass of Cheeta = ?

Length of vine = 60m

Can you guys help me suck out any more relevant information, or assumptions, from this question that I've missed? I like to solve problems on my own, even if it takes me a month like one particular question.. I just want a heads up on what I'm missing.

the vine can support the weight of Jane + Tarzan = 2xJane + cheeta = 1/2xJane so the vine can support the weight of 3 and 1/2 Janes. So I think the question is asking how fast does jane have to climb so her weight is increased by a factor of 3.5. Alternatively, if jane is starting on the ground than she has to accelerate to move up the rope. The max force she can apply during the climb is 3.5 her weight where her weight is her mass at 1g or the rope breaks.
 
Last edited:
F=ma?
 

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