Is Mass Irrelevant in This Problem?

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Homework Help Overview

The discussion revolves around a physics problem involving an automobile that slides to a stop, with a focus on the role of mass in the context of kinematic equations and friction. The problem presents a scenario where the mass of the car is not provided, raising questions about its necessity for solving the problem.

Discussion Character

  • Exploratory, Assumption checking, Conceptual clarification

Approaches and Questions Raised

  • Participants explore whether mass is necessary for solving the problem, with some suggesting that kinematic equations can be utilized without it. Others propose hypothetical scenarios with different masses to investigate their impact on the outcome.

Discussion Status

The discussion is active, with participants providing insights and questioning the relevance of mass. Some guidance has been offered regarding the use of kinematic equations and the introduction of mass as a parameter to assess its influence on the final result.

Contextual Notes

There is an ongoing debate about the implications of mass in the problem, with some participants suggesting that it may be irrelevant based on dimensional analysis. The lack of explicit consensus indicates that multiple interpretations are being considered.

Arwing
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Homework Statement
An automobile's wheels are locked as it slides to a stop from 34.9 m/s. If the coefficient of kinetic friction is 0.266 and the road is horizontal, how long does it take the car to stop?
Relevant Equations
F=ma, Fg=mg, Fk=coefficient of friction * Fn
I'm not sure where to start, I feel like I'm missing the mass but it is not listed.
 
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Maybe you don't need the mass. What do the kinematic equations that don't depend on mass have to say?
 
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Arwing said:
Homework Statement:: An automobile's wheels are locked as it slides to a stop from 34.9 m/s. If the coefficient of kinetic friction is 0.266 and the road is horizontal, how long does it take the car to stop?
Relevant Equations:: F=ma, Fg=mg, Fk=coefficient of friction * Fn

I'm not sure where to start, I feel like I'm missing the mass but it is not listed.
You don't need the mass. Go ahead and solve the equations to find the acceleration.
 
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Arwing said:
Homework Statement:: An automobile's wheels are locked as it slides to a stop from 34.9 m/s. If the coefficient of kinetic friction is 0.266 and the road is horizontal, how long does it take the car to stop?
Relevant Equations:: F=ma, Fg=mg, Fk=coefficient of friction * Fn

I'm not sure where to start, I feel like I'm missing the mass but it is not listed.
You could assume a) it's a toy car with a mass of ##1 kg##; and, b) a real car with a mass of ##1000 kg##; and see what difference that makes.

Which car will stop quicker? The toy or the real one?
 
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This thread highlights a common bad habit among many students: trying to compute every single partial result numerically. Most of the time it will be more illuminating to make general symbolic considerations for general input parameters and only insert particular values given in the problem once a general expression for the final result has been reached.

If you think mass is relevant, then introduce a mass parameter m and see if it appears in the final result.
 
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Addendum: It can be argued on dimensional grounds that the mass is necessarily irrelevant in this problem.
 
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