Various forces on various objects

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Homework Help Overview

The discussion revolves around understanding the effects of various forces acting on gliders of different masses on a frictionless track, specifically in relation to kinetic energy and momentum. Participants are tasked with determining the order of kinetic energy gained based on the work done by these forces over a specified distance.

Discussion Character

  • Exploratory, Conceptual clarification, Mathematical reasoning, Problem interpretation, Assumption checking

Approaches and Questions Raised

  • Participants explore whether the problem is asking for a ranking based on work done or kinetic energy gained. There are attempts to clarify the relationship between force, mass, and kinetic energy, with some questioning how to calculate velocity without time. Others suggest using the work-energy theorem and the impulse-momentum theorem to analyze the situation.

Discussion Status

There is ongoing exploration of the relationships between force, mass, and energy. Some participants have calculated work done on the blocks and are comparing their results, while others are discussing the implications of treating the experiments separately. Guidance has been offered regarding the use of force and distance to determine kinetic energy without needing to find velocity directly.

Contextual Notes

Participants are navigating constraints such as the requirement to consider each glider as a separate experiment and the implications of different masses and forces. There is also confusion regarding the time variable in relation to impulse and momentum calculations, with some participants expressing uncertainty about the correct approach to take.

  • #31
Just like when you were given that all the distances were the same and asked about the change in energy, there is an equally simple way to rank order the change in momentum when the times are all the same. Consider the impulse.
 
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  • #32
Doc Al said:
Just like when you were given that all the distances were the same and asked about the change in energy, there is an equally simple way to rank order the change in momentum when the times are all the same. Consider the impulse.
the difference in velocity? 3/4 objs have the same acceleration, so they end up with with the same velocity...
 
  • #33
Just_enough said:
no, you're looking at the original list instead of the new list I posted #16. (a) C < B < D < A (b) C < A=B < D (c) B=C < D < A (d) C < B=D < A (e) A < C < D < B
In that case I agree with you: it is c but with the inequalities reversed.
 
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  • #34
Just_enough said:
the difference in velocity? 3/4 objs have the same acceleration, so they end up with with the same velocity...
But they have different masses.

But the same impulse gives the same change in momentum. (And if the times are all the same...)
 

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