Solving for friction with only acceleration

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SUMMARY

The discussion focuses on calculating the minimum coefficient of static friction required for a person to remain stationary on a train accelerating at 0.2g. The key equations involved are F=MA and F=μ * N, where N represents the normal force. Participants emphasize that the mass of the person is not necessary for the calculation; instead, it can be represented as a variable 'm'. The solution hinges on understanding how to derive the normal force in the context of the train's acceleration.

PREREQUISITES
  • Understanding of Newton's Second Law (F=MA)
  • Familiarity with static friction and the coefficient of friction (μ)
  • Knowledge of normal force in physics
  • Basic algebra for manipulating equations
NEXT STEPS
  • Study the derivation of normal force in non-inertial reference frames
  • Learn about the implications of acceleration on frictional forces
  • Explore examples of static friction calculations in varying acceleration scenarios
  • Investigate the effects of different coefficients of friction on motion
USEFUL FOR

Students in physics, particularly those studying mechanics, as well as educators looking for practical examples of friction and acceleration concepts.

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Homework Statement



You are on a train accelerating at .2g; what is the minimum coefficient of static friction that your shoes have to have with the base of the train in order to not move?

You are only given the acceleration of the train. Not your mass or the natural force.


Homework Equations



F=MA, F= mew * natural force


The Attempt at a Solution



I have tried approaching it from several diffrent angles, looking it as F=MA and F= mew * natural force, but with only the acceleration, I do not see a way to solve the problem. Their are just too many variables. If I knew the mass of the person, I could easily solve it, by dividing the force by the natural force, but you aren't givin that.
 
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What you call 'natural force' should be the normal force. You don't need the actual mass--just call it 'm' and see what happens. How do you calculate the normal force in this situation?
 

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