How Long Does It Take a Pulse to Travel Across a Ravine When a Rope is Plucked?

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Homework Help Overview

The problem involves calculating the time it takes for a pulse to travel across a rope stretched over a 125-meter wide ravine, given the rope's mass and the force applied to it. The subject area pertains to wave propagation in strings.

Discussion Character

  • Exploratory, Mathematical reasoning

Approaches and Questions Raised

  • Participants discuss the calculation of wave speed using tension and mass per unit length, with one participant expressing uncertainty about their result compared to a system's feedback.

Discussion Status

Some participants have provided calculations and checked each other's work, while others are seeking further validation of their results. There is an acknowledgment of potential precision issues affecting the acceptance of the answer.

Contextual Notes

One participant mentions having limited attempts left for a submission, indicating a constraint on their ability to explore further variations or corrections.

dsptl
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A rope with a total mass of 25.0 kg is tied to a tree on one side of a 125 meter wide ravine, and you're pulling on the other end of the rope with a force of 415 N. If you pluck the rope, how long will it take the pulse to travel across the ravine to the tree?

Please Help me out
 
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yes I have already tried that and I got 2.74sec but in MasteringPhysics it gives me wrong...

help me out
 
Show your calculation so we can see what you did.
 
So, u = 25/125 = 1/5 kg/m
So, T = sqrt(415 kg m/s^2 / (1/5 kg/m)) = sqrt( 415*5 m^2/s^2) = sqrt(2075) m/s = 45.55 m/s

then I did t = d/v = 125m/45.55m/s = 2.74sec
 
Your calculation looks correct. I can only suggest that there is a question of precision in accepting your answer.
 
i have only one trial left and i don't want to take risk...please suggest me an answer
 

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