How Do You Calculate the Forces in a Tug of War?

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SUMMARY

The discussion focuses on calculating the forces in a tug of war scenario involving two participants, Peter and John. Peter weighs 539 N and accelerates at 3.0 m/s², while John weighs 392 N. To determine the force exerted by each participant, one must apply Newton's Second Law, specifically F = ma, and analyze the forces acting on Peter through a free body diagram. This approach clarifies the relationship between the forces exerted by both individuals during the game.

PREREQUISITES
  • Understanding of Newton's Second Law (F = ma)
  • Ability to draw and interpret free body diagrams
  • Basic knowledge of weight and mass concepts
  • Familiarity with acceleration and its implications in physics
NEXT STEPS
  • Study how to apply Newton's Second Law in various scenarios
  • Learn to construct and analyze free body diagrams
  • Explore the concept of net force and its calculation
  • Investigate the effects of friction and tension in tug of war dynamics
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Students studying physics, educators teaching mechanics, and anyone interested in understanding force dynamics in competitive scenarios like tug of war.

w0lverine
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I need to find the magnitude of the force exerted from one boy onto another in a game of tug of war and vice versa.
Peter weighs 539 N, John weighs 392 N. During the course of the game Peter accelerates at a rate of 3.0 m/s^2.

First the magnitude of force Peter exerts onto John.
Then the magnitude of force John exerts onto Peter.
Then the magnitude of Peter's acceleration towards John.

I'm just so lost, I have so many formulae in my head and I don't know which one to use.
 
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I think you are lost partly because you may have John and Peter mixed up. And partly because the problem is not clearly worded. Try starting by finding the force that John exerts on Peter, by drawing a free body diagram of Peter to identify the forces acting on him. Assume that Peter's acceleration, given as 3 m/s/s, is with respect to the ground, and use Newton's 2nd law.
 

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