Tension - two objects and a string

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SUMMARY

The discussion focuses on calculating the tension in a string connecting two objects with masses of 5 kg and 7 kg, subjected to a 67 N upward force. The weight of the 5 kg object is calculated as 49 N, leading to a net force of 18 N acting on it. The weight of the 7 kg object is determined to be 68.6 N. To find the tension in the string, one must first calculate the acceleration of both masses and then apply Newton's second law to relate the forces acting on the second object.

PREREQUISITES
  • Understanding of Newton's second law (F = ma)
  • Basic knowledge of gravitational force calculations
  • Ability to analyze forces in a system of connected objects
  • Familiarity with free-body diagrams
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  • Calculate the acceleration of both masses using the net force and total mass.
  • Apply Newton's second law to find the tension in the string connecting the two objects.
  • Explore free-body diagram techniques for visualizing forces in multi-object systems.
  • Review concepts of tension in strings and ropes in physics problems.
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Students studying physics, particularly those focusing on mechanics and force analysis, as well as educators seeking to explain tension in connected systems.

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Homework Statement


An object 1 of mass 5 kg is attached to object 2 of mass 7 kg with a string. The 5 kg object is pulled up with a 67 N force - what is the tension in the string.


Homework Equations



F= ma

The Attempt at a Solution



Since object 1 has an external force of 67 N acting upon it, that force should be subtracted by the weight of object 1: (5)(9.8) = 49 N
67 - 49 = 18 N

Object 2 just has its weight force acting upon it: (7)(9.8) = 68.6 N

I've calculated the forces acting on the objects - but I'm not sure how to calculate tension from here.
 
Physics news on Phys.org
Find the acceleration of m1 and m2 due to applied force.
What is the net force acting on m2?
What is its equate it to the combined acceleration to find T.
 

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