Tug-of-War Forces: Solving the Rope Problem

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Homework Help Overview

The problem involves a tug-of-war scenario between a boy and a girl on a frictionless surface, focusing on the forces and acceleration involved in the interaction. The subject area includes dynamics and Newton's laws of motion.

Discussion Character

  • Exploratory, Conceptual clarification

Approaches and Questions Raised

  • The original poster expresses confusion regarding how to approach the problem, specifically in drawing a free-body diagram. Some participants suggest applying Newton's third law, while the poster questions how that would assist in solving the problem.

Discussion Status

The discussion shows an initial struggle with understanding the problem, but one participant later indicates they have resolved their confusion and solved the problem, suggesting some productive guidance was provided.

Contextual Notes

The original poster's uncertainty about drawing a free-body diagram highlights a potential gap in understanding fundamental concepts related to forces and motion. There is also a mention of the problem being perceived as simple, which may reflect the poster's evolving confidence.

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Homework Statement


Suppose a 69-kg boy and a 48-kg girl use a massless rope in a tug-of-war on an icy, resistance-free surface. If the acceleration of the girl toward the boy is 3.0 m/s2, find the magnitude of the acceleration of the boy toward the girl.

Homework Equations


f=ma
fg=mg
fnet=mAnet
Ff=μῦF

The Attempt at a Solution


I don't understand how to solve it. Or draw a free-body diagram...and go from there.
 
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Apply Newton's third law.
 
I don't understand how that would help me to solve the problem. Can you help me get started please?
 
Nevermind, I was asking too much for a simple problem. I understand it now and I solved it. Thank you for your help!
 

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