Solving Mass Ratios from Acceleration: The 3-Body Experiment

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Homework Help Overview

The discussion revolves around a physics problem involving three bodies with different masses on a frictionless surface, where a compressed spring is used to analyze the relationship between their accelerations after release. The original poster seeks guidance on how to approach the problem of determining the mass ratio of m2 to m1 based on given acceleration relationships.

Discussion Character

  • Exploratory, Conceptual clarification, Assumption checking

Approaches and Questions Raised

  • Participants discuss the conservation of momentum and the forces exerted by the spring on the bodies. There are inquiries about how to start the problem and the relationships between the masses and their accelerations.

Discussion Status

Some participants have offered insights into the conservation principles relevant to the problem, while others are exploring the implications of equal forces acting on the masses. There is an ongoing exploration of how to derive the necessary mass ratios from the provided acceleration data.

Contextual Notes

Participants are working within the constraints of a homework problem, which may limit the information available and the methods they can employ. The discussion reflects uncertainty about the initial steps needed to analyze the problem effectively.

Karma
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Consider three bodies with mass m0 m1 and m2 at rest on a frictionless surface. When we insert a compressed spring between bodies 0 and 1 and release the spring we notice that the magnitudes of their accelerations are related by: a1=4a0. When we do the same experiment with bodies 0 and 2 we find: a2=a0/3. What is the ratio of m2/m1?

Can anyone tell me how i should start this question?
 
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Start finding the ratios m0/m1 and m0/m2
 
what do you mean?
 
Karma said:
Can anyone tell me how i should start this question?
When the springs are released and the bodies fly apart, what physical quantity is conserved?

Alternatively, from a Newton's laws perspective, when two bodies fly apart what can you say about the force exerted on each body by the spring?
 
Last edited:
One object will be sent to the left and the other object will be sent out to the right. momentum would be conserved in this closed system..
 
Karma said:
One object will be sent to the left and the other object will be sent out to the right. momentum would be conserved in this closed system..

yes. and the force on each mass attached to the spring is the same. use the fact that the forces are the same to get the ratio of m0/m1 and m0/m2.
 

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