Towing Sleds - Finding Tensions

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SUMMARY

The discussion focuses on calculating the acceleration and tensions in a system of three sleds being pulled by a 125 N force on a frictionless surface. The total mass of the sleds is 60 kg, resulting in an acceleration of 2.08 m/s². To find the tensions in ropes A and B, users are advised to apply the formula T = m*a for each sled individually or to isolate blocks for analysis. This approach ensures accurate calculations of the forces acting on each sled.

PREREQUISITES
  • Understanding of Newton's Second Law of Motion
  • Familiarity with basic physics concepts such as mass, force, and acceleration
  • Ability to apply equations of motion to multiple bodies
  • Knowledge of tension in ropes and its calculation methods
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  • Study the application of Newton's laws in multi-body systems
  • Learn how to calculate tension in systems with multiple connected objects
  • Explore the concept of frictionless surfaces in physics problems
  • Practice solving problems involving forces and accelerations in different configurations
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This discussion is beneficial for physics students, educators, and anyone interested in understanding dynamics and tension in connected systems.

Twiggy92
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Three sleds are being pulled horizontally on a frictionless horizontal ice using horizontal ropes. The pull is a magnitude of 125 N. Find (a) the acceleration of the system and (b) the tension in ropes A and B (see diagram below)

[30 kg sled]---rope B---[20 kg sled]---rope A---[10 kg sled]----> 125 N force

F = total mass * a
Tension = m*a



F = m*a
125 = 60*a
a= 2.08 m/s^2

Using the T=m*a equation, which sleds do I plug in for m to get the tension in each rope?
 
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Each sledge is experiencing a net force that makes it moves at 2.08 m/s^2
 
Hello Twiggy92
Welcome to physics forums ! :)
In your case each block is moving with an acceleration you calculated right?There are two ways to handle your problem
(1) The same method you used.Try removing the penultimate block and apply your force equation.
(2) Isolate each and every block and analyse the forces as pointed out by the member azizlwl.
Try both and let us know if you get the right answer .:)
regards
Yukoel
 

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