Newton's laws during a tug of war

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Homework Help Overview

The problem involves Newton's laws of motion in the context of a tug of war scenario on a frictionless surface. It presents a situation where two individuals, Adam and Ben, are pulling on a rope, and the goal is to determine Ben's acceleration based on Adam's known acceleration and mass.

Discussion Character

  • Exploratory, Conceptual clarification, Mathematical reasoning

Approaches and Questions Raised

  • Participants discuss the application of Newton's second law of motion and question how to relate the forces acting on Adam and Ben. There is an exploration of the forces exerted by each individual on the rope and the implications for acceleration.

Discussion Status

Some participants have provided guidance on using the second law of motion as a starting point. There is an ongoing exploration of the relationship between the forces exerted by Adam and Ben, with no explicit consensus reached yet.

Contextual Notes

The discussion is constrained by the need to apply Newton's laws without additional information about the forces involved or the setup beyond the given masses and acceleration.

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Homework Statement


Adam and Ben pull hand over hand on opposite sides of a rope while standing on a frictionless pond.
Adam's mass: 75.0kg
Ben's mass: 50.0kg
Adam's acceleration: 1.00 m/s2 to the east
What is the magnitude and direction of Ben's acceleration?
 
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Did you attempt to do the problem yourself? What principles do you think you should apply to this problem?
 
the second law of motion? I don't know where to start.
Matterwave said:
Did you attempt to do the problem yourself? What principles do you think you should apply to this problem?
 
You certainly can use the second law of motion. Let's start there. If Adam's acceleration is 1 m/s2 east, what does the second law say about the force exerted on him?
 
force would be 75.0kg( 1 m/s2)
 
If this is the force the rope exerts on Adam, how much force does Adam exert on the rope?
 

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