Minimum Acceleration for Safe Rope Sliding: 40kg Person on 350N Tension Rope

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SUMMARY

The minimum acceleration required for a 40.0 kg person to slide down a rope with a maximum tension of 350 N is determined using the equation Fnet = ma. The net force acting on the person must not exceed the rope's tension limit to prevent breaking. The discussion emphasizes the importance of clear communication in problem-solving, suggesting that typed work is preferable to images for clarity.

PREREQUISITES
  • Understanding of Newton's Second Law (F=ma)
  • Knowledge of tension in ropes and forces
  • Basic algebra for solving equations
  • Familiarity with free-body diagrams
NEXT STEPS
  • Calculate the net force acting on a body in motion using Fnet = ma
  • Explore the concepts of tension and its limits in physics
  • Learn about free-body diagrams and their applications in problem-solving
  • Investigate real-world applications of tension in ropes and safety measures
USEFUL FOR

Students studying physics, educators teaching mechanics, and anyone interested in understanding the principles of forces and tension in real-world scenarios.

Dembart
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Homework Statement


What is the minimum acceleration with which a 40.0kg person slides down a rope that can withstand a maximum tension of 350N and have the rope not break?

Homework Equations


Fnet=ma

The Attempt at a Solution


see upload
 

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  • WP_20150527_004[1].jpg
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Your image is a bit hard to read, especially since it comes out sideways, but the final answer looks right.
In future, please take the trouble to type in your working, only using images for diagrams and pages of textbooks.
 
Will do, Thank you.
 

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