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

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SUMMARY

The discussion revolves around calculating the minimum time Jane needs to climb a 60m vine to reach Tarzan, considering their respective weights. Tarzan's mass is twice that of Jane, while Jane's mass is twice that of Cheeta, establishing a mass relationship of Tarzan = 2 * Jane = 4 * Cheeta. The vine can support a combined weight of 3.5 times Jane's weight, leading to the conclusion that Jane must accelerate her ascent to avoid exceeding the vine's weight limit. Newton's second law (F=ma) is crucial for determining the necessary force for her climb.

PREREQUISITES
  • Understanding of Newton's second law (F=ma)
  • Basic knowledge of mass and weight relationships
  • Familiarity with the concept of acceleration
  • Knowledge of the Law of Conservation of Energy (though not directly applicable here)
NEXT STEPS
  • Calculate the acceleration required for Jane to climb the vine using F=ma
  • Explore the implications of weight distribution on climbing dynamics
  • Investigate the effects of gravitational force on mass during vertical ascent
  • Learn about the maximum tensile strength of materials, specifically in climbing scenarios
USEFUL FOR

Students studying physics, particularly those focusing on mechanics and dynamics, as well as anyone interested in practical applications of Newton's laws in real-world scenarios.

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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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